algorithm stringclasses 4
values | answer stringlengths 2 153 | explanation stringlengths 15 3.18k | id int64 0 173k | nedges int64 0 168 | nnodes int64 5 19 | question stringlengths 87 7.51k | task stringclasses 6
values | text_encoding stringclasses 9
values |
|---|---|---|---|---|---|---|---|---|
er | 34. | The edges are (0, 1), (0, 2), (0, 5), (0, 7), (0, 11), (0, 12), (1, 3), (1, 9), (1, 10), (1, 12), (2, 5), (2, 8), (2, 10), (2, 12), (3, 4), (3, 6), (3, 8), (3, 9), (3, 12), (4, 6), (4, 11), (5, 8), (5, 10), (5, 11), (5, 12), (6, 9), (6, 11), (6, 12), (7, 8), (7, 10), (8, 9), (8, 11), (10, 11), (10, 12). | 0 | 34 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 1) (0, 2) (0, 5) (0, 7) (0, 11) (0, 12) (1, 3) (1, 9) (1, 10) (1, 12) (2, 5) (2, 8) (2, 10) (2, 12) (3, 4) (3, 6) (3, 8)... | edge_count | adjacency |
er | 15. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 3), (1, 5), (1, 6), (1, 7), (2, 3), (2, 5), (3, 5), (3, 6), (3, 7), (4, 6). | 1 | 15 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (1, 3) (1, 5) (1, 6) (1, 7) (2, 3) (2, 5) (3, 5) (3, 6) (3, 7) (4, 6).
Q: How many edges are in this graph?... | edge_count | adjacency |
er | 127. | The edges are (0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 10), (1, 11), (1, 13), (1, 15), (1, 17), (1, 18), (2, 3), (2, 4), (2, 5), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (... | 2 | 127 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 1) (0, 2) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (0, 11) (0, 12) (0, 13) (0, 14) (0, 15) (0, ... | edge_count | adjacency |
er | 23. | The edges are (0, 1), (0, 3), (0, 5), (0, 6), (0, 8), (1, 4), (1, 6), (1, 7), (1, 8), (1, 10), (2, 4), (2, 5), (2, 8), (3, 5), (3, 6), (3, 8), (3, 10), (4, 6), (4, 7), (4, 10), (5, 8), (6, 8), (7, 10). | 3 | 23 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 1) (0, 3) (0, 5) (0, 6) (0, 8) (1, 4) (1, 6) (1, 7) (1, 8) (1, 10) (2, 4) (2, 5) (2, 8) (3, 5) (3, 6) (3, 8) (3, 10) (4, 6) (4, ... | edge_count | adjacency |
er | 120. | The edges are (0, 1), (0, 3), (0, 4), (0, 6), (0, 7), (0, 9), (0, 10), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (1, 2), (1, 3), (1, 5), (1, 7), (1, 8), (1, 9), (1, 10), (1, 13), (1, 14), (1, 18), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 10), (2, 11), (2, 12), (2, 15), (2, 18), (3, 4), (3, 5), (3, 6), (3, 7), (3,... | 4 | 120 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 1) (0, 3) (0, 4) (0, 6) (0, 7) (0, 9) (0, 10) (0, 13) (0, 14) (0, 15) (0, 16) (0, 17) (1, 2) (1,... | edge_count | adjacency |
er | 33. | The edges are (0, 6), (0, 11), (0, 12), (0, 13), (0, 15), (1, 10), (2, 4), (2, 6), (3, 5), (3, 9), (3, 10), (4, 6), (4, 10), (5, 8), (5, 12), (5, 14), (6, 9), (6, 13), (6, 14), (6, 15), (7, 8), (7, 9), (7, 12), (7, 15), (8, 12), (9, 11), (10, 11), (10, 12), (10, 13), (11, 12), (12, 13), (12, 15), (13, 15). | 5 | 33 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 6) (0, 11) (0, 12) (0, 13) (0, 15) (1, 10) (2, 4) (2, 6) (3, 5) (3, 9) (3, 10) (4, 6) (4, 10) (5, 8) (5, 12)... | edge_count | adjacency |
er | 4. | The edges are (1, 4), (2, 4), (8, 12), (10, 13). | 6 | 4 | 14 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and 13.
The edges in G are: (1, 4) (2, 4) (8, 12) (10, 13).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 46. | The edges are (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 8), (0, 9), (0, 11), (0, 12), (1, 7), (1, 9), (1, 11), (1, 12), (2, 3), (2, 4), (2, 7), (2, 9), (2, 10), (2, 11), (2, 12), (3, 4), (3, 6), (3, 7), (3, 9), (3, 11), (3, 12), (4, 5), (4, 7), (4, 8), (4, 10), (4, 11), (4, 12), (5, 7), (5, 8), (5, 10), (5, 12), (6, ... | 7 | 46 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 2) (0, 3) (0, 4) (0, 5) (0, 7) (0, 8) (0, 9) (0, 11) (0, 12) (1, 7) (1, 9) (1, 11) (1, 12) (2, 3) (2, 4) (2, 7) (2, 9) (... | edge_count | adjacency |
er | 22. | The edges are (0, 3), (0, 5), (0, 6), (0, 7), (1, 2), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 6), (2, 7), (2, 8), (3, 4), (3, 8), (4, 7), (4, 8), (5, 6), (5, 8), (6, 8). | 8 | 22 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 3) (0, 5) (0, 6) (0, 7) (1, 2) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8) (2, 3) (2, 4) (2, 6) (2, 7) (2, 8) (3, 4) (3, 8) (4, 7) (4, 8) (5, 6)... | edge_count | adjacency |
er | 13. | The edges are (0, 1), (0, 8), (1, 10), (2, 3), (2, 6), (2, 9), (2, 11), (3, 5), (3, 8), (5, 7), (5, 9), (7, 9), (8, 9). | 9 | 13 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 1) (0, 8) (1, 10) (2, 3) (2, 6) (2, 9) (2, 11) (3, 5) (3, 8) (5, 7) (5, 9) (7, 9) (8, 9).
Q: How many edges are in this grap... | edge_count | adjacency |
er | 32. | The edges are (0, 2), (0, 9), (0, 13), (1, 2), (1, 3), (1, 9), (1, 12), (1, 13), (1, 14), (1, 15), (2, 8), (2, 10), (2, 11), (3, 6), (3, 7), (4, 15), (5, 8), (5, 10), (5, 15), (6, 13), (7, 8), (7, 9), (7, 11), (7, 15), (8, 9), (8, 10), (9, 11), (9, 14), (9, 15), (10, 12), (11, 12), (12, 15). | 10 | 32 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 2) (0, 9) (0, 13) (1, 2) (1, 3) (1, 9) (1, 12) (1, 13) (1, 14) (1, 15) (2, 8) (2, 10) (2, 11) (3, 6) (3, 7) ... | edge_count | adjacency |
er | 20. | The edges are (0, 3), (0, 7), (0, 11), (1, 10), (2, 3), (2, 7), (2, 8), (3, 7), (3, 8), (4, 5), (4, 7), (4, 8), (4, 10), (4, 11), (5, 10), (5, 11), (6, 11), (7, 9), (7, 11), (8, 9). | 11 | 20 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 3) (0, 7) (0, 11) (1, 10) (2, 3) (2, 7) (2, 8) (3, 7) (3, 8) (4, 5) (4, 7) (4, 8) (4, 10) (4, 11) (5, 10) (5, 11) (6, 11) (7... | edge_count | adjacency |
er | 64. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (1, 2), (1, 3), (1, 4), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (4... | 12 | 64 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (0, 10) (0, 11) (1, 2) (1, 3) (1, 4) (1, 6) (1, 7) (1, 8) (1, 9) ... | edge_count | adjacency |
er | 11. | The edges are (0, 9), (1, 2), (2, 4), (2, 8), (2, 9), (5, 7), (6, 9), (6, 10), (6, 11), (8, 9), (8, 11). | 13 | 11 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 9) (1, 2) (2, 4) (2, 8) (2, 9) (5, 7) (6, 9) (6, 10) (6, 11) (8, 9) (8, 11).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 109. | The edges are (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 11), (0, 12), (0, 15), (0, 17), (0, 18), (1, 2), (1, 3), (1, 5), (1, 6), (1, 8), (1, 10), (1, 12), (1, 14), (1, 15), (1, 17), (2, 4), (2, 6), (2, 7), (2, 8), (2, 10), (2, 11), (2, 12), (2, 14), (2, 15), (2, 16), (2, 18), (3, 6), (3, 7), (3, 8), (3, 10), ... | 14 | 109 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 11) (0, 12) (0, 15) (0, 17) (0, 18) (1, 2) (1, 3) (1, ... | edge_count | adjacency |
er | 34. | The edges are (0, 3), (0, 4), (0, 5), (0, 6), (0, 8), (0, 9), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (2, 3), (2, 6), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (3, 8), (3, 9), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (8, 9). | 15 | 34 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 3) (0, 4) (0, 5) (0, 6) (0, 8) (0, 9) (1, 2) (1, 3) (1, 5) (1, 6) (1, 7) (2, 3) (2, 6) (2, 7) (2, 8) (2, 9) (3, 4) (3, 5) (3, 6) (3,... | edge_count | adjacency |
er | 104. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (1, 2), (1, 3), (1, 4), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 14), (1, 15), (2, 3), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 12), (2, 13), (2, 14), (2, 15), (2,... | 16 | 104 | 17 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 9) (0, 10) (0, 11) (0, 12) (0, 13) (0, 14) (0, 15) (1, ... | edge_count | adjacency |
er | 38. | The edges are (0, 1), (0, 5), (0, 6), (0, 7), (0, 8), (1, 3), (1, 4), (1, 7), (1, 10), (2, 3), (2, 4), (2, 5), (2, 7), (2, 9), (2, 10), (2, 11), (3, 5), (3, 6), (3, 9), (3, 10), (4, 5), (4, 7), (4, 9), (4, 11), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (6, 7), (6, 8), (6, 10), (6, 11), (7, 8), (7, 10), (8, 9), (8, 10),... | 17 | 38 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 1) (0, 5) (0, 6) (0, 7) (0, 8) (1, 3) (1, 4) (1, 7) (1, 10) (2, 3) (2, 4) (2, 5) (2, 7) (2, 9) (2, 10) (2, 11) (3, 5) (3, 6)... | edge_count | adjacency |
er | 22. | The edges are (0, 3), (0, 6), (0, 10), (1, 5), (1, 10), (1, 14), (2, 9), (2, 12), (3, 6), (3, 13), (4, 5), (4, 7), (5, 13), (7, 9), (7, 10), (7, 15), (8, 10), (10, 11), (10, 12), (10, 14), (10, 15), (12, 14). | 18 | 22 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 3) (0, 6) (0, 10) (1, 5) (1, 10) (1, 14) (2, 9) (2, 12) (3, 6) (3, 13) (4, 5) (4, 7) (5, 13) (7, 9) (7, 10) ... | edge_count | adjacency |
er | 12. | The edges are (0, 1), (0, 4), (0, 5), (0, 12), (0, 13), (1, 3), (2, 8), (3, 5), (3, 8), (5, 6), (7, 11), (8, 11). | 19 | 12 | 14 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and 13.
The edges in G are: (0, 1) (0, 4) (0, 5) (0, 12) (0, 13) (1, 3) (2, 8) (3, 5) (3, 8) (5, 6) (7, 11) (8, 11).
Q: How many edges are in this g... | edge_count | adjacency |
er | 50. | The edges are (0, 7), (0, 9), (0, 13), (0, 16), (0, 17), (1, 2), (1, 4), (1, 10), (1, 11), (1, 13), (1, 16), (2, 8), (2, 13), (3, 4), (3, 5), (3, 10), (3, 16), (4, 8), (4, 10), (4, 11), (4, 12), (5, 8), (5, 9), (5, 17), (6, 9), (6, 14), (6, 17), (7, 9), (7, 13), (7, 15), (7, 17), (8, 9), (8, 14), (8, 15), (9, 11), (9, ... | 20 | 50 | 18 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, and 17.
The edges in G are: (0, 7) (0, 9) (0, 13) (0, 16) (0, 17) (1, 2) (1, 4) (1, 10) (1, 11) (1, 13) (1, 16) (2, 8) (2, 13) (3, 4... | edge_count | adjacency |
er | 36. | The edges are (0, 1), (0, 3), (0, 4), (0, 6), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 8), (1, 9), (2, 3), (2, 4), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (7, 9), (8, 9). | 21 | 36 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 3) (0, 4) (0, 6) (0, 7) (0, 8) (0, 9) (1, 2) (1, 3) (1, 4) (1, 5) (1, 8) (1, 9) (2, 3) (2, 4) (2, 7) (2, 8) (2, 9) (3, 4) (3,... | edge_count | adjacency |
er | 20. | The edges are (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 8), (1, 2), (1, 3), (1, 4), (2, 4), (2, 5), (2, 6), (2, 8), (3, 4), (3, 6), (4, 5), (4, 6), (5, 6), (6, 7), (7, 8). | 22 | 20 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 8) (1, 2) (1, 3) (1, 4) (2, 4) (2, 5) (2, 6) (2, 8) (3, 4) (3, 6) (4, 5) (4, 6) (5, 6) (6, 7) (7, 8)... | edge_count | adjacency |
er | 70. | The edges are (0, 4), (0, 8), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (1, 3), (1, 5), (1, 7), (1, 10), (1, 14), (1, 15), (1, 16), (2, 4), (2, 9), (2, 11), (2, 16), (3, 5), (3, 6), (3, 8), (3, 10), (3, 11), (3, 12), (3, 13), (3, 15), (4, 6), (4, 7), (4, 9), (4, 10), (4, 12), (4, 13), (4, 14), (4, 16), (5, ... | 23 | 70 | 17 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16.
The edges in G are: (0, 4) (0, 8) (0, 10) (0, 11) (0, 12) (0, 13) (0, 14) (0, 15) (1, 3) (1, 5) (1, 7) (1, 10) (1, 14) (1, 15) (... | edge_count | adjacency |
er | 9. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (3, 4). | 24 | 9 | 5 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, and 4.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (1, 2) (1, 3) (1, 4) (2, 3) (3, 4).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 26. | The edges are (0, 1), (0, 2), (0, 8), (0, 10), (1, 5), (1, 9), (2, 5), (2, 7), (2, 8), (3, 4), (3, 6), (3, 8), (4, 5), (4, 7), (4, 9), (4, 10), (5, 6), (5, 8), (5, 10), (6, 7), (6, 8), (6, 9), (6, 10), (7, 8), (7, 9), (8, 10). | 25 | 26 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 1) (0, 2) (0, 8) (0, 10) (1, 5) (1, 9) (2, 5) (2, 7) (2, 8) (3, 4) (3, 6) (3, 8) (4, 5) (4, 7) (4, 9) (4, 10) (5, 6) (5, 8) (5, ... | edge_count | adjacency |
er | 35. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 8), (0, 9), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 9), (2, 3), (2, 6), (2, 7), (2, 9), (3, 4), (3, 6), (3, 7), (3, 8), (3, 9), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8). | 26 | 35 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 6) (0, 8) (0, 9) (1, 2) (1, 3) (1, 5) (1, 6) (1, 7) (1, 9) (2, 3) (2, 6) (2, 7) (2, 9) (3, 4) (3, 6) (3,... | edge_count | adjacency |
er | 47. | The edges are (0, 2), (0, 5), (0, 6), (0, 8), (0, 10), (0, 12), (0, 13), (0, 14), (1, 2), (1, 9), (1, 12), (1, 14), (2, 11), (2, 12), (2, 13), (2, 14), (3, 12), (4, 5), (4, 6), (4, 8), (4, 9), (4, 12), (4, 13), (4, 15), (5, 9), (5, 12), (5, 15), (6, 8), (6, 12), (6, 13), (6, 14), (6, 15), (7, 9), (7, 10), (7, 15), (8, ... | 27 | 47 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 2) (0, 5) (0, 6) (0, 8) (0, 10) (0, 12) (0, 13) (0, 14) (1, 2) (1, 9) (1, 12) (1, 14) (2, 11) (2, 12) (2, 13... | edge_count | adjacency |
er | 35. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (5, 7), (5, 8), (6, 7), (7, 8). | 28 | 35 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8) (2, 3) (2, 4) (2, 5) (2, 6) (2, 7)... | edge_count | adjacency |
er | 17. | The edges are (0, 1), (0, 3), (0, 4), (0, 6), (0, 7), (1, 2), (1, 4), (1, 5), (1, 7), (2, 3), (2, 5), (3, 4), (3, 7), (4, 5), (4, 6), (5, 6), (6, 7). | 29 | 17 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 1) (0, 3) (0, 4) (0, 6) (0, 7) (1, 2) (1, 4) (1, 5) (1, 7) (2, 3) (2, 5) (3, 4) (3, 7) (4, 5) (4, 6) (5, 6) (6, 7).
Q: How many edges are ... | edge_count | adjacency |
er | 7. | The edges are (0, 1), (0, 2), (0, 11), (1, 4), (2, 3), (2, 5), (2, 8). | 30 | 7 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 1) (0, 2) (0, 11) (1, 4) (2, 3) (2, 5) (2, 8).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 14. | The edges are (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 5). | 31 | 14 | 6 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, and 5.
The edges in G are: (0, 2) (0, 3) (0, 4) (0, 5) (1, 2) (1, 3) (1, 4) (1, 5) (2, 3) (2, 4) (2, 5) (3, 4) (3, 5) (4, 5).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 98. | The edges are (0, 1), (0, 4), (0, 6), (0, 8), (0, 11), (0, 13), (0, 14), (0, 15), (0, 16), (1, 2), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 11), (1, 12), (1, 14), (1, 16), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 9), (2, 11), (2, 13), (2, 15), (3, 4), (3, 5), (3, 6), (3, 7), (3, 9), (3, 10), (3, 11), (3, ... | 32 | 98 | 17 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16.
The edges in G are: (0, 1) (0, 4) (0, 6) (0, 8) (0, 11) (0, 13) (0, 14) (0, 15) (0, 16) (1, 2) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8... | edge_count | adjacency |
er | 30. | The edges are (0, 1), (0, 2), (0, 5), (0, 7), (0, 9), (0, 10), (1, 4), (1, 6), (1, 7), (1, 8), (1, 9), (2, 5), (2, 6), (2, 9), (3, 7), (4, 6), (4, 7), (4, 10), (4, 11), (5, 6), (5, 7), (5, 8), (6, 7), (6, 9), (7, 9), (7, 10), (7, 11), (8, 10), (8, 11), (9, 11). | 33 | 30 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 1) (0, 2) (0, 5) (0, 7) (0, 9) (0, 10) (1, 4) (1, 6) (1, 7) (1, 8) (1, 9) (2, 5) (2, 6) (2, 9) (3, 7) (4, 6) (4, 7) (4, 10) ... | edge_count | adjacency |
er | 39. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (0, 9), (0, 10), (0, 11), (0, 12), (1, 4), (1, 6), (1, 8), (1, 10), (2, 3), (2, 5), (2, 7), (2, 8), (2, 10), (2, 12), (3, 6), (3, 7), (3, 9), (3, 12), (4, 6), (4, 7), (4, 10), (4, 12), (5, 6), (5, 8), (5, 10), (6, 8), (6, 10), (6, 12), (7, 8), (7, 9), (7, 11), (8, 1... | 34 | 39 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 7) (0, 9) (0, 10) (0, 11) (0, 12) (1, 4) (1, 6) (1, 8) (1, 10) (2, 3) (2, 5) (2, 7) (2, 8) (... | edge_count | adjacency |
er | 15. | The edges are (0, 2), (0, 4), (0, 6), (0, 8), (1, 8), (2, 3), (2, 4), (2, 6), (3, 4), (3, 5), (3, 7), (3, 8), (4, 7), (5, 6), (5, 7). | 35 | 15 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 2) (0, 4) (0, 6) (0, 8) (1, 8) (2, 3) (2, 4) (2, 6) (3, 4) (3, 5) (3, 7) (3, 8) (4, 7) (5, 6) (5, 7).
Q: How many edges are in this gra... | edge_count | adjacency |
er | 12. | The edges are (0, 1), (0, 2), (0, 5), (1, 2), (1, 4), (2, 3), (2, 4), (2, 5), (3, 5), (3, 6), (4, 5), (5, 6). | 36 | 12 | 7 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, and 6.
The edges in G are: (0, 1) (0, 2) (0, 5) (1, 2) (1, 4) (2, 3) (2, 4) (2, 5) (3, 5) (3, 6) (4, 5) (5, 6).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 26. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7). | 37 | 26 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (1, 7) (2, 3) (2, 4) (2, 5) (2, 6) (3, 4) (3, 6) (3, 7) (4... | edge_count | adjacency |
er | 4. | The edges are (0, 1), (0, 8), (0, 9), (1, 10). | 38 | 4 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 1) (0, 8) (0, 9) (1, 10).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 29. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 6), (1, 7), (2, 3), (2, 4), (2, 5), (2, 8), (3, 4), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8). | 39 | 29 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (1, 2) (1, 3) (1, 4) (1, 6) (1, 7) (2, 3) (2, 4) (2, 5) (2, 8) (3, 4) (3, 7) (3, 8)... | edge_count | adjacency |
er | 104. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 1... | 40 | 104 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 6) (0, 7) (0, 8) (0, 9) (0, 10) (0, 11) (0, 12) (0, 13) (0, 14) (1, 2) (1, 3) (1, 4)... | edge_count | adjacency |
er | 13. | The edges are (0, 2), (1, 3), (1, 4), (1, 8), (2, 4), (2, 9), (3, 7), (4, 6), (5, 7), (5, 9), (7, 8), (7, 9), (8, 9). | 41 | 13 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 2) (1, 3) (1, 4) (1, 8) (2, 4) (2, 9) (3, 7) (4, 6) (5, 7) (5, 9) (7, 8) (7, 9) (8, 9).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 5. | The edges are (0, 1), (5, 8), (7, 11), (8, 14), (11, 13). | 42 | 5 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (5, 8) (7, 11) (8, 14) (11, 13).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 10. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4). | 43 | 10 | 5 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, and 4.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (1, 2) (1, 3) (1, 4) (2, 3) (2, 4) (3, 4).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 52. | The edges are (0, 3), (0, 11), (0, 18), (1, 4), (1, 8), (1, 10), (1, 12), (1, 13), (1, 17), (2, 3), (2, 6), (2, 13), (2, 17), (3, 7), (3, 12), (3, 13), (3, 15), (3, 16), (3, 17), (4, 8), (4, 9), (4, 14), (4, 17), (5, 8), (5, 13), (5, 16), (6, 7), (6, 14), (6, 16), (7, 15), (8, 9), (8, 14), (8, 16), (8, 17), (8, 18), (9... | 44 | 52 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 3) (0, 11) (0, 18) (1, 4) (1, 8) (1, 10) (1, 12) (1, 13) (1, 17) (2, 3) (2, 6) (2, 13) (2, 17) (... | edge_count | adjacency |
er | 2. | The edges are (0, 2), (1, 2). | 45 | 2 | 6 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, and 5.
The edges in G are: (0, 2) (1, 2).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 83. | The edges are (0, 1), (0, 3), (0, 4), (0, 7), (0, 8), (0, 9), (0, 11), (0, 12), (0, 14), (0, 15), (1, 2), (1, 3), (1, 4), (1, 6), (1, 8), (1, 9), (1, 12), (1, 13), (1, 14), (1, 15), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (2, 15), (3, 4), (3, 7), (3, 8), (3, 10), (3, 13), (3... | 46 | 83 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 1) (0, 3) (0, 4) (0, 7) (0, 8) (0, 9) (0, 11) (0, 12) (0, 14) (0, 15) (1, 2) (1, 3) (1, 4) (1, 6) (1, 8) (1,... | edge_count | adjacency |
er | 168. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 17), (2, 3), (2, 4), (... | 47 | 168 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (0, 10) (0, 11) (0, 12) (0, 13) (0, 1... | edge_count | adjacency |
er | 25. | The edges are (0, 1), (0, 3), (0, 4), (0, 8), (0, 13), (2, 11), (3, 7), (3, 8), (3, 9), (3, 13), (4, 5), (4, 13), (5, 7), (6, 11), (6, 14), (7, 8), (7, 10), (7, 13), (8, 9), (8, 10), (9, 11), (10, 13), (11, 13), (11, 14), (13, 14). | 48 | 25 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 3) (0, 4) (0, 8) (0, 13) (2, 11) (3, 7) (3, 8) (3, 9) (3, 13) (4, 5) (4, 13) (5, 7) (6, 11) (6, 14) (7, 8... | edge_count | adjacency |
er | 39. | The edges are (0, 2), (0, 8), (0, 13), (0, 14), (0, 15), (1, 2), (1, 4), (1, 11), (1, 14), (2, 13), (3, 14), (4, 7), (4, 8), (4, 9), (4, 13), (4, 14), (5, 6), (5, 7), (5, 11), (5, 12), (5, 15), (6, 7), (6, 8), (6, 10), (6, 13), (7, 8), (7, 9), (7, 13), (7, 14), (8, 9), (8, 10), (8, 11), (9, 12), (9, 15), (10, 13), (10,... | 49 | 39 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 2) (0, 8) (0, 13) (0, 14) (0, 15) (1, 2) (1, 4) (1, 11) (1, 14) (2, 13) (3, 14) (4, 7) (4, 8) (4, 9) (4, 13)... | edge_count | adjacency |
er | 5. | The edges are (1, 2), (1, 3), (2, 3), (2, 4), (3, 4). | 50 | 5 | 5 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, and 4.
The edges in G are: (1, 2) (1, 3) (2, 3) (2, 4) (3, 4).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 37. | The edges are (0, 8), (0, 9), (1, 3), (1, 10), (1, 11), (1, 13), (1, 14), (2, 3), (2, 5), (2, 9), (2, 11), (3, 6), (3, 7), (3, 8), (3, 10), (3, 14), (4, 5), (4, 7), (4, 13), (4, 15), (5, 9), (5, 12), (6, 7), (6, 8), (6, 10), (6, 11), (6, 12), (7, 8), (7, 9), (7, 14), (8, 9), (8, 11), (8, 12), (8, 14), (8, 15), (11, 15)... | 51 | 37 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 8) (0, 9) (1, 3) (1, 10) (1, 11) (1, 13) (1, 14) (2, 3) (2, 5) (2, 9) (2, 11) (3, 6) (3, 7) (3, 8) (3, 10) (... | edge_count | adjacency |
er | 43. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (5, 9), (6, 7), (6... | 52 | 43 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8) (1, 9) (2, 3) (2, 4) (2,... | edge_count | adjacency |
er | 8. | The edges are (0, 7), (1, 8), (2, 7), (3, 6), (3, 8), (4, 9), (5, 6), (5, 8). | 53 | 8 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 7) (1, 8) (2, 7) (3, 6) (3, 8) (4, 9) (5, 6) (5, 8).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 4. | The edges are (0, 5), (0, 6), (1, 6), (3, 7). | 54 | 4 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 5) (0, 6) (1, 6) (3, 7).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 82. | The edges are (0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 12), (0, 13), (0, 14), (0, 15), (1, 2), (1, 3), (1, 4), (1, 6), (1, 7), (1, 10), (1, 12), (1, 13), (1, 14), (1, 15), (2, 4), (2, 6), (2, 8), (2, 9), (2, 11), (2, 13), (2, 15), (3, 4), (3, 5), (3, 7), (3, 9), (3, 10), (3, 11), (3,... | 55 | 82 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 1) (0, 2) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (0, 10) (0, 12) (0, 13) (0, 14) (0, 15) (1, 2) (1, 3) (1... | edge_count | adjacency |
er | 9. | The edges are (0, 4), (0, 6), (1, 3), (1, 4), (2, 3), (2, 5), (2, 6), (3, 6), (5, 6). | 56 | 9 | 7 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, and 6.
The edges in G are: (0, 4) (0, 6) (1, 3) (1, 4) (2, 3) (2, 5) (2, 6) (3, 6) (5, 6).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 48. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 9), (2, 10), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 10), (4, 5), (4, 7), (4, 8), (4, 10), (5, 6), (5, 7... | 57 | 48 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (0, 10) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8) (1, 9) (1, 1... | edge_count | adjacency |
er | 27. | The edges are (0, 1), (0, 2), (0, 4), (0, 6), (0, 9), (1, 2), (1, 3), (1, 5), (1, 6), (1, 8), (2, 5), (2, 6), (2, 8), (2, 9), (3, 4), (3, 8), (4, 5), (4, 6), (4, 8), (5, 6), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 9), (8, 9). | 58 | 27 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 2) (0, 4) (0, 6) (0, 9) (1, 2) (1, 3) (1, 5) (1, 6) (1, 8) (2, 5) (2, 6) (2, 8) (2, 9) (3, 4) (3, 8) (4, 5) (4, 6) (4, 8) (5,... | edge_count | adjacency |
er | 19. | The edges are (0, 1), (0, 2), (0, 4), (0, 5), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 6), (2, 7), (2, 8), (3, 5), (3, 6), (3, 7), (4, 5), (5, 6), (5, 8). | 59 | 19 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 1) (0, 2) (0, 4) (0, 5) (0, 8) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 6) (2, 7) (2, 8) (3, 5) (3, 6) (3, 7) (4, 5) (5, 6) (5, 8).
Q: Ho... | edge_count | adjacency |
er | 82. | The edges are (0, 1), (0, 4), (0, 5), (0, 7), (0, 10), (0, 11), (0, 14), (0, 15), (1, 2), (1, 3), (1, 5), (1, 6), (1, 8), (1, 9), (1, 10), (1, 11), (1, 15), (1, 16), (2, 5), (2, 6), (2, 7), (2, 9), (2, 13), (2, 16), (3, 6), (3, 9), (3, 10), (3, 12), (3, 13), (3, 14), (3, 16), (4, 5), (4, 6), (4, 7), (4, 9), (4, 10), (4... | 60 | 82 | 17 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16.
The edges in G are: (0, 1) (0, 4) (0, 5) (0, 7) (0, 10) (0, 11) (0, 14) (0, 15) (1, 2) (1, 3) (1, 5) (1, 6) (1, 8) (1, 9) (1, 10... | edge_count | adjacency |
er | 16. | The edges are (0, 1), (0, 2), (0, 5), (0, 7), (0, 10), (1, 2), (1, 4), (1, 6), (2, 4), (3, 5), (3, 9), (4, 6), (4, 8), (6, 8), (7, 8), (9, 10). | 61 | 16 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 1) (0, 2) (0, 5) (0, 7) (0, 10) (1, 2) (1, 4) (1, 6) (2, 4) (3, 5) (3, 9) (4, 6) (4, 8) (6, 8) (7, 8) (9, 10).
Q: How many edges... | edge_count | adjacency |
er | 30. | The edges are (0, 10), (0, 12), (1, 3), (1, 6), (1, 9), (1, 11), (2, 3), (2, 4), (2, 10), (2, 11), (2, 12), (3, 6), (4, 5), (4, 11), (4, 12), (4, 14), (5, 7), (5, 11), (5, 14), (6, 12), (6, 13), (7, 8), (7, 9), (7, 11), (7, 13), (8, 11), (8, 14), (9, 14), (10, 13), (10, 14). | 62 | 30 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 10) (0, 12) (1, 3) (1, 6) (1, 9) (1, 11) (2, 3) (2, 4) (2, 10) (2, 11) (2, 12) (3, 6) (4, 5) (4, 11) (4, 12) (4,... | edge_count | adjacency |
er | 13. | The edges are (0, 5), (0, 9), (1, 3), (1, 5), (1, 7), (1, 9), (2, 3), (2, 5), (3, 4), (4, 9), (5, 6), (6, 8), (6, 10). | 63 | 13 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 5) (0, 9) (1, 3) (1, 5) (1, 7) (1, 9) (2, 3) (2, 5) (3, 4) (4, 9) (5, 6) (6, 8) (6, 10).
Q: How many edges are in this graph?
A:... | edge_count | adjacency |
er | 40. | The edges are (0, 1), (0, 4), (0, 6), (0, 7), (0, 8), (0, 10), (0, 12), (0, 13), (1, 2), (1, 3), (1, 4), (1, 8), (1, 10), (2, 3), (2, 4), (2, 5), (3, 6), (3, 11), (3, 12), (3, 13), (4, 5), (4, 9), (4, 10), (4, 12), (5, 7), (5, 8), (5, 12), (6, 9), (6, 12), (7, 10), (7, 11), (7, 13), (8, 10), (8, 11), (8, 12), (9, 10), ... | 64 | 40 | 14 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and 13.
The edges in G are: (0, 1) (0, 4) (0, 6) (0, 7) (0, 8) (0, 10) (0, 12) (0, 13) (1, 2) (1, 3) (1, 4) (1, 8) (1, 10) (2, 3) (2, 4) (2, 5) (3, ... | edge_count | adjacency |
er | 10. | The edges are (0, 5), (0, 6), (0, 8), (1, 3), (1, 5), (2, 6), (3, 8), (4, 6), (4, 8), (5, 6). | 65 | 10 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 5) (0, 6) (0, 8) (1, 3) (1, 5) (2, 6) (3, 8) (4, 6) (4, 8) (5, 6).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 53. | The edges are (0, 3), (0, 6), (0, 7), (0, 10), (0, 11), (0, 12), (1, 6), (1, 8), (1, 11), (1, 12), (1, 13), (1, 14), (2, 3), (2, 6), (2, 8), (2, 9), (2, 11), (2, 12), (3, 5), (3, 7), (3, 9), (3, 10), (3, 11), (3, 13), (3, 14), (4, 7), (4, 8), (4, 11), (5, 6), (5, 8), (5, 9), (5, 11), (5, 12), (5, 14), (6, 7), (6, 8), (... | 66 | 53 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 3) (0, 6) (0, 7) (0, 10) (0, 11) (0, 12) (1, 6) (1, 8) (1, 11) (1, 12) (1, 13) (1, 14) (2, 3) (2, 6) (2, 8) (2, ... | edge_count | adjacency |
er | 12. | The edges are (0, 1), (0, 5), (0, 9), (1, 12), (2, 4), (2, 10), (4, 6), (5, 8), (6, 7), (8, 12), (10, 11), (11, 12). | 67 | 12 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 5) (0, 9) (1, 12) (2, 4) (2, 10) (4, 6) (5, 8) (6, 7) (8, 12) (10, 11) (11, 12).
Q: How many edges are in... | edge_count | adjacency |
er | 10. | The edges are (0, 5), (0, 6), (0, 7), (1, 3), (1, 4), (1, 6), (1, 7), (2, 5), (4, 6), (5, 7). | 68 | 10 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 5) (0, 6) (0, 7) (1, 3) (1, 4) (1, 6) (1, 7) (2, 5) (4, 6) (5, 7).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 0. | The edges are . | 69 | 0 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8..
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 9. | The edges are (0, 4), (0, 8), (1, 8), (3, 4), (3, 8), (4, 5), (4, 6), (4, 8), (5, 6). | 70 | 9 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 4) (0, 8) (1, 8) (3, 4) (3, 8) (4, 5) (4, 6) (4, 8) (5, 6).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 32. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8). | 71 | 32 | 9 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, and 8.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 6) (0, 7) (0, 8) (1, 2) (1, 3) (1, 5) (1, 6) (1, 7) (1, 8) (2, 3) (2, 4) (2, 5) (2, 6) (2, 7) (3, 4) (3, 5)... | edge_count | adjacency |
er | 93. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 14), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 10), (2, 11), (2, 12), (2, 13), (3, 4), (3, 5), (3, 6... | 72 | 93 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 6) (0, 7) (0, 8) (0, 9) (0, 10) (0, 11) (0, 12) (0, 14) (1, 3) (1, 4) (1, 5) (1, 6) ... | edge_count | adjacency |
er | 33. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 9), (1, 2), (1, 4), (1, 5), (1, 7), (1, 8), (1, 9), (2, 3), (2, 4), (2, 6), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (4, 8), (4, 9), (5, 6), (5, 7), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9), (8, 9). | 73 | 33 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 7) (0, 9) (1, 2) (1, 4) (1, 5) (1, 7) (1, 8) (1, 9) (2, 3) (2, 4) (2, 6) (2, 7) (2, 8) (2, 9) (3,... | edge_count | adjacency |
er | 22. | The edges are (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 9), (0, 10), (1, 3), (1, 9), (2, 3), (2, 8), (2, 10), (3, 9), (3, 10), (4, 5), (4, 9), (4, 10), (5, 8), (5, 9), (5, 10), (6, 7), (6, 10). | 74 | 22 | 11 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
The edges in G are: (0, 2) (0, 4) (0, 5) (0, 6) (0, 7) (0, 9) (0, 10) (1, 3) (1, 9) (2, 3) (2, 8) (2, 10) (3, 9) (3, 10) (4, 5) (4, 9) (4, 10) (5, 8) (5... | edge_count | adjacency |
er | 68. | The edges are (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (2, 3), (2, 4), (2, 5), (2, 6), (2, 9), (2, 10), (2, 11), (2, 12), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12)... | 75 | 68 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 2) (0, 3) (0, 4) (0, 5) (0, 7) (0, 8) (0, 9) (0, 10) (0, 11) (0, 12) (1, 2) (1, 3) (1, 5) (1, 6) (1, 7) (1, 8) (1, 9) (1... | edge_count | adjacency |
er | 58. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (0, 8), (0, 10), (0, 11), (0, 12), (1, 2), (1, 3), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (2, 3), (2, 5), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (3, 4), (3, 5), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (4, 6), (4, 7), (4, 9)... | 76 | 58 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 7) (0, 8) (0, 10) (0, 11) (0, 12) (1, 2) (1, 3) (1, 6) (1, 7) (1, 8) (1, 9) (1, 10) (1, 11) ... | edge_count | adjacency |
er | 59. | The edges are (0, 1), (0, 2), (0, 4), (0, 6), (0, 7), (0, 9), (0, 11), (0, 13), (0, 14), (1, 7), (1, 8), (1, 9), (1, 11), (1, 12), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (3, 6), (3, 9), (3, 10), (3, 11), (3, 13), (3, 14), (4, 6), (4, 11), (4, 13), (4, 14), (5, 7), (5, 8), (5, 9), (5,... | 77 | 59 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 2) (0, 4) (0, 6) (0, 7) (0, 9) (0, 11) (0, 13) (0, 14) (1, 7) (1, 8) (1, 9) (1, 11) (1, 12) (2, 4) (2, 5)... | edge_count | adjacency |
er | 18. | The edges are (0, 1), (0, 6), (0, 8), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (1, 9), (2, 4), (2, 7), (3, 4), (3, 9), (4, 8), (5, 7), (5, 8), (7, 8), (8, 9). | 78 | 18 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 6) (0, 8) (1, 3) (1, 4) (1, 5) (1, 7) (1, 8) (1, 9) (2, 4) (2, 7) (3, 4) (3, 9) (4, 8) (5, 7) (5, 8) (7, 8) (8, 9).
Q: How ma... | edge_count | adjacency |
er | 57. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (1, 2), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 11), (1, 12), (2, 4), (2, 5), (2, 6), (2, 10), (2, 11), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 11), (3, 12), (4, 7), (4, 8), (4, 10), (4, 11), (5, 7),... | 79 | 57 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 6) (0, 8) (0, 9) (0, 10) (0, 11) (0, 12) (1, 2) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8) (1, 9) (1... | edge_count | adjacency |
er | 10. | The edges are (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 7), (3, 5), (5, 7), (6, 7). | 80 | 10 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 7) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 7) (3, 5) (5, 7) (6, 7).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 162. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18), (2, 3), (2, 4), (... | 81 | 162 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (0, 11) (0, 12) (0, 13) (0, 14) (0, 1... | edge_count | adjacency |
er | 9. | The edges are (0, 1), (0, 2), (0, 3), (1, 2), (1, 5), (2, 4), (2, 6), (3, 4), (4, 6). | 82 | 9 | 7 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, and 6.
The edges in G are: (0, 1) (0, 2) (0, 3) (1, 2) (1, 5) (2, 4) (2, 6) (3, 4) (4, 6).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 17. | The edges are (0, 12), (2, 4), (2, 9), (3, 10), (3, 11), (3, 13), (3, 14), (4, 8), (4, 14), (6, 14), (6, 15), (7, 14), (8, 13), (9, 13), (11, 14), (12, 14), (15, 16). | 83 | 17 | 18 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, and 17.
The edges in G are: (0, 12) (2, 4) (2, 9) (3, 10) (3, 11) (3, 13) (3, 14) (4, 8) (4, 14) (6, 14) (6, 15) (7, 14) (8, 13) (9,... | edge_count | adjacency |
er | 68. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 9), (0, 10), (0, 11), (0, 12), (1, 2), (1, 3), (1, 5), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (2, 3), (2, 4), (2, 5), (2, 7), (2, 8), (2, 9), (2, 10), (2, 12), (3, 4), (3, 5), (3, 6), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (4, 5),... | 84 | 68 | 13 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 9) (0, 10) (0, 11) (0, 12) (1, 2) (1, 3) (1, 5) (1, 7) (1, 8) (1, 9) (1... | edge_count | adjacency |
er | 16. | The edges are (0, 7), (0, 11), (1, 8), (2, 3), (2, 4), (2, 7), (2, 8), (3, 8), (3, 11), (4, 9), (4, 11), (5, 9), (5, 10), (6, 8), (6, 11), (7, 11). | 85 | 16 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 7) (0, 11) (1, 8) (2, 3) (2, 4) (2, 7) (2, 8) (3, 8) (3, 11) (4, 9) (4, 11) (5, 9) (5, 10) (6, 8) (6, 11) (7, 11).
Q: How ma... | edge_count | adjacency |
er | 38. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 2), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (2, 3), (2, 4), (2, 5), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 8), (3, 9), (4, 6), (4, 7), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 9), (8, 9). | 86 | 38 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (0, 8) (0, 9) (1, 2) (1, 4) (1, 5) (1, 6) (1, 7) (1, 8) (1, 9) (2, 3) (2, 4) (2, 5) (2,... | edge_count | adjacency |
er | 6. | The edges are (0, 11), (1, 9), (2, 6), (2, 9), (2, 10), (6, 13). | 87 | 6 | 14 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and 13.
The edges in G are: (0, 11) (1, 9) (2, 6) (2, 9) (2, 10) (6, 13).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
er | 46. | The edges are (0, 1), (0, 3), (0, 5), (0, 7), (0, 8), (0, 9), (1, 2), (1, 9), (1, 10), (1, 12), (1, 13), (2, 4), (2, 10), (2, 11), (3, 4), (3, 5), (3, 10), (3, 12), (3, 13), (4, 5), (4, 7), (4, 10), (4, 11), (4, 12), (4, 13), (5, 10), (6, 7), (6, 9), (6, 10), (6, 12), (6, 13), (6, 14), (7, 8), (7, 11), (7, 13), (8, 10)... | 88 | 46 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 3) (0, 5) (0, 7) (0, 8) (0, 9) (1, 2) (1, 9) (1, 10) (1, 12) (1, 13) (2, 4) (2, 10) (2, 11) (3, 4) (3, 5)... | edge_count | adjacency |
er | 32. | The edges are (0, 1), (0, 2), (0, 5), (0, 8), (0, 9), (0, 10), (0, 11), (1, 2), (1, 3), (1, 6), (1, 8), (1, 10), (2, 5), (2, 10), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (4, 5), (4, 6), (4, 10), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (8, 11), (9, 11), (10, 11). | 89 | 32 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 1) (0, 2) (0, 5) (0, 8) (0, 9) (0, 10) (0, 11) (1, 2) (1, 3) (1, 6) (1, 8) (1, 10) (2, 5) (2, 10) (3, 4) (3, 5) (3, 6) (3, 7... | edge_count | adjacency |
er | 50. | The edges are (0, 1), (0, 5), (0, 7), (0, 11), (0, 16), (1, 7), (1, 10), (1, 11), (1, 13), (1, 17), (2, 3), (2, 6), (2, 7), (2, 8), (2, 10), (2, 14), (3, 4), (3, 5), (3, 6), (3, 17), (4, 10), (4, 15), (4, 16), (4, 17), (5, 9), (5, 11), (5, 13), (5, 14), (6, 14), (6, 18), (7, 12), (7, 16), (8, 13), (8, 15), (9, 10), (9,... | 90 | 50 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 1) (0, 5) (0, 7) (0, 11) (0, 16) (1, 7) (1, 10) (1, 11) (1, 13) (1, 17) (2, 3) (2, 6) (2, 7) (2,... | edge_count | adjacency |
er | 26. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (3, 4), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7). | 91 | 26 | 8 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, and 7.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (0, 5) (0, 6) (0, 7) (1, 3) (1, 4) (1, 5) (1, 6) (1, 7) (2, 3) (2, 4) (2, 5) (2, 6) (2, 7) (3, 4) (3, 6) (3, 7) (4... | edge_count | adjacency |
er | 43. | The edges are (0, 3), (0, 5), (0, 8), (0, 9), (0, 10), (0, 11), (1, 2), (1, 4), (1, 6), (1, 7), (1, 11), (2, 3), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (3, 4), (3, 7), (3, 8), (3, 10), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (5, 7), (5, 8), (5, 9), (6, 8), (6, 9), (6, 10), (7, 8), (7, 9), (7, 11), (... | 92 | 43 | 12 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
The edges in G are: (0, 3) (0, 5) (0, 8) (0, 9) (0, 10) (0, 11) (1, 2) (1, 4) (1, 6) (1, 7) (1, 11) (2, 3) (2, 5) (2, 6) (2, 7) (2, 9) (2, 10) (3, 4... | edge_count | adjacency |
er | 41. | The edges are (0, 1), (0, 2), (0, 5), (0, 8), (0, 11), (1, 6), (1, 7), (1, 8), (1, 12), (1, 13), (2, 7), (2, 8), (2, 12), (2, 13), (3, 4), (3, 5), (3, 6), (3, 10), (3, 13), (4, 5), (4, 8), (4, 9), (4, 12), (4, 13), (4, 14), (5, 7), (5, 9), (5, 12), (5, 14), (6, 9), (6, 11), (6, 13), (7, 8), (7, 9), (7, 10), (7, 14), (9... | 93 | 41 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 1) (0, 2) (0, 5) (0, 8) (0, 11) (1, 6) (1, 7) (1, 8) (1, 12) (1, 13) (2, 7) (2, 8) (2, 12) (2, 13) (3, 4) (3, 5)... | edge_count | adjacency |
er | 71. | The edges are (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (0, 10), (0, 11), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (1, 4), (1, 6), (1, 8), (1, 11), (2, 3), (2, 6), (2, 7), (2, 8), (2, 10), (2, 11), (2, 12), (2, 13), (2, 16), (2, 17), (3, 4), (3, 15), (4, 5), (4, 6), (4, 9), (4, 11), (4, 13), (4, 18), (5, 8),... | 94 | 71 | 19 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, and 18.
The edges in G are: (0, 3) (0, 5) (0, 6) (0, 7) (0, 8) (0, 10) (0, 11) (0, 13) (0, 14) (0, 15) (0, 16) (0, 17) (0, 18) (... | edge_count | adjacency |
er | 68. | The edges are (0, 2), (0, 4), (0, 5), (0, 6), (0, 8), (0, 9), (0, 11), (0, 12), (1, 2), (1, 4), (1, 5), (1, 6), (1, 10), (1, 13), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 9), (2, 10), (2, 12), (2, 13), (2, 14), (3, 6), (3, 7), (3, 8), (3, 9), (3, 11), (3, 12), (4, 5), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12... | 95 | 68 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 2) (0, 4) (0, 5) (0, 6) (0, 8) (0, 9) (0, 11) (0, 12) (1, 2) (1, 4) (1, 5) (1, 6) (1, 10) (1, 13) (2, 3) (2, 4) ... | edge_count | adjacency |
er | 17. | The edges are (0, 2), (0, 3), (0, 7), (0, 8), (1, 2), (1, 4), (1, 8), (1, 9), (2, 6), (2, 7), (3, 7), (4, 9), (5, 6), (5, 8), (6, 7), (6, 9), (7, 9). | 96 | 17 | 10 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The edges in G are: (0, 2) (0, 3) (0, 7) (0, 8) (1, 2) (1, 4) (1, 8) (1, 9) (2, 6) (2, 7) (3, 7) (4, 9) (5, 6) (5, 8) (6, 7) (6, 9) (7, 9).
Q: How many edge... | edge_count | adjacency |
er | 38. | The edges are (0, 4), (0, 6), (0, 8), (0, 9), (0, 12), (0, 14), (1, 2), (1, 3), (1, 5), (1, 6), (1, 9), (2, 7), (2, 9), (2, 11), (2, 12), (3, 7), (3, 8), (3, 9), (3, 11), (3, 12), (3, 13), (4, 7), (4, 14), (5, 7), (5, 12), (6, 10), (6, 12), (6, 14), (7, 8), (7, 12), (7, 13), (7, 14), (8, 10), (9, 12), (10, 11), (10, 12... | 97 | 38 | 15 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.
The edges in G are: (0, 4) (0, 6) (0, 8) (0, 9) (0, 12) (0, 14) (1, 2) (1, 3) (1, 5) (1, 6) (1, 9) (2, 7) (2, 9) (2, 11) (2, 12) (3, 7) ... | edge_count | adjacency |
er | 11. | The edges are (0, 6), (0, 8), (1, 7), (1, 10), (1, 11), (4, 11), (4, 13), (5, 9), (8, 11), (9, 11), (10, 12). | 98 | 11 | 16 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
The edges in G are: (0, 6) (0, 8) (1, 7) (1, 10) (1, 11) (4, 11) (4, 13) (5, 9) (8, 11) (9, 11) (10, 12).
Q: How many edges are in t... | edge_count | adjacency |
er | 8. | The edges are (0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 4), (2, 4), (3, 4). | 99 | 8 | 5 | In an undirected graph, (i,j) means that node i and node j are connected with an undirected edge. G describes a graph among nodes 0, 1, 2, 3, and 4.
The edges in G are: (0, 1) (0, 2) (0, 3) (0, 4) (1, 2) (1, 4) (2, 4) (3, 4).
Q: How many edges are in this graph?
A: | edge_count | adjacency |
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