An undirected graph is bipartite if its nodes may be divided into two sets so that all

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An undirected graph is bipartite if its nodes may be divided into two sets so that all edges go from a node in one set to a node in the other set. Show that a graph is bipartite if and only if it doesn’t contain a cycle that has an odd number of nodes. Let BIPARTITE = {〈G〉| G is a bipartite graph}. Show that BIPARTITE ∈ NL.

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