Show that if a bipartite graph G=(V, E) is n -regular for some positive integer n (see the preamble to Exercise 55 ) and (V1, V2) is a bipartition of V, then |V1|=|V2| . That is, show that the two sets in a bipartition of the vertex set of an n -regular graph must contain the same number of vertices. | Numerade
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Show that if a bipartite graph G=(V, E) is n -regular for some positive integer n (see the preamble to Exercise 55 ) and (V1, V2) is a bipartition of V, then |V1|=|V2| . That is, show that
Show that if a bipartite graph G=(V, E) is n -regular for some positive ...
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In Exercises 21–25 determine whether the graph is bipartite. You may find it useful to apply Theorem 4 and answer the question by determining whether it is possible to assign either red or blue to each vertex so that no two adjacent vertices are assigned the same color. | Numerade
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