asymmetric-VLM
Collection
Datasets for https://asymmetric-vlm-post-training.github.io/ • 3 items • Updated
query stringclasses 3
values | image imagewidth (px) 427 466 | ground_truth stringlengths 59 219 | response stringclasses 1
value |
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You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 5], [1, 5], [1, 6], [2, 3], [2, 5], [3, 4], [3, 5], [3, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 4], [0, 5], [0, 6], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [0, 5], [1, 5], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 6], [1, 2], [1, 3], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 3], [0, 6], [1, 6], [2, 3], [3, 4], [3, 5], [3, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 3], [1, 3], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 2, "edges": [[0, 1], [1, 3], [1, 4], [1, 6], [2, 3], [3, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 4], [1, 2], [1, 3], [2, 4], [2, 6], [3, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 4], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [3, 6], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 3], [0, 5], [1, 2], [1, 5], [1, 6], [2, 4], [2, 6], [3, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 4], [0, 6], [1, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 6], [1, 2], [1, 5], [2, 4], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 4], [0, 6], [1, 5], [2, 4], [3, 4], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 3], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [2, 3], [2, 5], [2, 6], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 4], [0, 5], [0, 6], [1, 2], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [0, 4], [0, 5], [1, 2], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 5], [0, 6], [1, 2], [2, 3], [2, 4], [2, 5], [2, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 4], [1, 3], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 4], [1, 3], [1, 4], [2, 3], [2, 4], [3, 4], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [1, 3], [1, 5], [2, 3], [2, 5], [3, 4], [3, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 3], [0, 6], [1, 2], [1, 3], [1, 5], [2, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 3], [1, 3], [1, 4], [1, 5], [2, 3], [2, 5], [2, 6], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 4], [2, 6], [3, 4], [3, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 3], [0, 4], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [3, 5], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 4], [1, 2], [1, 5], [1, 6], [2, 3], [2, 6], [3, 4]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 3], [0, 5], [0, 6], [1, 2], [2, 5], [2, 6], [3, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [0, 4], [0, 5], [0, 6], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [1, 4], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 4], [0, 5], [0, 6], [1, 3], [1, 5], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 4], [1, 3], [1, 4], [1, 6], [2, 3], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 4], [1, 2], [1, 5], [2, 3], [2, 6], [3, 4], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 3], [0, 6], [1, 2], [1, 3], [1, 4], [2, 3], [2, 5], [2, 6], [3, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 4], [0, 6], [1, 4], [1, 5], [2, 3], [3, 4], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [1, 2], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [1, 4], [1, 5], [2, 3], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 4], [0, 5], [0, 6], [1, 4], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 3], [0, 4], [0, 6], [1, 2], [3, 5], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 3], [0, 4], [0, 6], [1, 3], [1, 4], [1, 5], [2, 5], [3, 4], [3, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [1, 2], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 3], [1, 2], [1, 3], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 5], [1, 2], [1, 3], [1, 5], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[1, 2], [1, 3], [1, 5], [2, 4], [2, 5], [3, 4], [3, 5], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 5], [1, 4], [2, 3], [2, 4], [3, 4], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 4], [1, 2], [1, 3], [1, 5], [2, 3], [2, 4], [3, 4], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 4], [0, 5], [0, 6], [1, 5], [2, 4], [2, 5], [2, 6], [3, 4], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 3], [0, 6], [1, 2], [1, 4], [2, 3], [2, 4], [2, 5], [3, 4], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 4], [0, 5], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [1, 2], [1, 6], [2, 5], [3, 5], [3, 6], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 5, "edges": [[0, 2], [1, 3], [1, 4], [1, 5], [1, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 3], [0, 4], [1, 4], [1, 6], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 5], [1, 2], [1, 6], [2, 3], [3, 4], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 4], [1, 4], [1, 5], [1, 6], [2, 3], [3, 5], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 6], [1, 2], [1, 3], [1, 4], [1, 5], [2, 4], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 5], [0, 6], [1, 3], [1, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 4], [0, 6], [1, 2], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [1, 2], [1, 3], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 4], [0, 5], [0, 6], [1, 4], [1, 6], [2, 4], [2, 5], [3, 4], [3, 5], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 5], [0, 6], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 3], [0, 5], [1, 5], [2, 3], [2, 4], [2, 5], [3, 4], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 3], [0, 4], [0, 5], [1, 3], [1, 5], [1, 6], [3, 4], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [1, 2], [1, 4], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 6], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [1, 2], [1, 3], [2, 5], [3, 5], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 4], [0, 6], [1, 2], [1, 3], [1, 5], [1, 6], [2, 3], [2, 5], [3, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [0, 4], [0, 5], [0, 6], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 6], [1, 2], [1, 4], [1, 6], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 5], [0, 6], [1, 5], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 5, "edges": [[0, 3], [0, 5], [1, 2], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [1, 2], [1, 5], [1, 6], [2, 4], [2, 5], [2, 6], [3, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 2, "edges": [[0, 1], [0, 2], [0, 6], [1, 3], [1, 4], [1, 5], [2, 5], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 3], [0, 5], [1, 2], [1, 4], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 3], [0, 5], [1, 4], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 4], [0, 6], [1, 2], [1, 3], [1, 6], [2, 3], [2, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 5], [1, 3], [1, 4], [1, 5], [2, 4], [2, 5], [3, 4], [3, 6], [4, 5], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [1, 4], [1, 6], [2, 3], [2, 4], [2, 6], [3, 4], [3, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [1, 3], [1, 4], [1, 6], [2, 5], [2, 6], [3, 5], [3, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 6], [1, 3], [1, 5], [1, 6], [2, 3], [2, 4], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [1, 4], [1, 6], [2, 3], [2, 4], [3, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 3], [0, 5], [0, 6], [1, 3], [1, 5], [2, 3], [2, 5], [3, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 1], [0, 2], [0, 4], [0, 5], [0, 6], [1, 2], [1, 4], [1, 5], [1, 6], [2, 5], [3, 4], [3, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 5], [0, 6], [1, 4], [1, 5], [3, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 6], [1, 4], [1, 5], [2, 3], [2, 5], [3, 4], [4, 6], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 4], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [3, 5], [3, 6], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 4], [0, 5], [1, 5], [2, 3], [2, 4], [3, 4], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 4], [0, 5], [1, 3], [1, 4], [1, 5], [1, 6], [2, 3], [2, 5], [2, 6], [3, 4], [3, 5], [4, 5], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 3], [0, 4], [1, 2], [1, 5], [2, 5], [3, 4], [3, 5], [3, 6], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 3], [0, 4], [1, 3], [2, 3], [2, 5], [3, 4], [3, 5], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 4], [0, 6], [1, 3], [2, 4], [3, 4], [3, 5], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 4], [1, 3], [1, 5], [2, 3], [2, 4], [2, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 6], [1, 3], [1, 4], [1, 5], [1, 6], [2, 6], [3, 5], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 1], [0, 2], [0, 3], [0, 4], [0, 6], [1, 2], [1, 6], [2, 3], [2, 4], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 4, "edges": [[0, 2], [0, 5], [1, 3], [1, 4], [1, 5], [1, 6], [3, 4], [3, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 2], [0, 4], [0, 5], [1, 4], [1, 5], [1, 6], [2, 3], [2, 4], [2, 5], [2, 6], [4, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 3], [0, 4], [0, 5], [1, 2], [1, 3], [2, 3], [2, 6], [3, 5], [3, 6], [4, 5]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 3, "edges": [[0, 4], [0, 5], [1, 5], [2, 4], [2, 5], [4, 5], [5, 6]]} | ||
You are given a graph shown in the image. There are 7 vertices, labeled 0 through 6. Solve the graph coloring problem using the minimum possible number of colors (i.e., you should first determine the chromatic number). Use alphabetical labels for colors such as a, b, c, ... Assign a color to each vertex such that no tw... | {"v": 7, "c": 2, "edges": [[0, 6], [2, 4], [2, 5], [3, 4], [3, 5], [5, 6]]} |
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This is the Graph Coloring dataset for https://asymmetric-vlm-post-training.github.io/
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