Assertion: graph's edge | /r/CapableOf | connect vertex
Facets:
value: to their parents
type: TRANSITIVE-OBJECT
value: in one
type: LOCATION
value: in different subsets
type: LOCATION
value: to one in v
type: LOCATION
value: in u
type: LOCATION
value: to itself
type: TRANSITIVE-OBJECT
Source sentences:
text: Some authors allow multigraphs to have loops, that is, an edge that connects a vertex to itself, while others call these pseudographs, reserving the term multigraph for the case with no loops.
text: In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets U {\displaystyle U} and V {\displaystyle V} such that every edge connects a vertex in U {\displaystyle U} to one in V {\displaystyle V} .
text: A bipartite graph is a graph whose vertices we can divide into two sets such that all edges connect a vertex in one set with a vertex in the other set.
text: Edges are vertical lines connecting vertices.
text: Edges are vertical lines connecting vertices.
text: A complete bipartite graph is a graph whose vertices can be partitioned into two subsets V 1 and V 2 such that no edge has both endpoints in the same subset, and every possible edge that could connect vertices in different subsets is part of the graph.
text: For example, in the image to the right, the neighbourhood of vertex 5 consists of vertices 1, 2 and 4 and the edge connecting vertices 1 and 2.
text: This will necessarily provide a two-coloring of the spanning forest consisting of the edges connecting vertices to their parents, but it may not properly color some of the non-forest edges.