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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 the two sets in a bipartition of the vertex set of an n -regular graph must contain the same number of vertices. | Numerade
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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