Question: 1 . Let G = ( V , E ) be an undirected graph such that G has n vertices and m edges. That is

1. Let G =(V, E) be an undirected graph such that G has n vertices and m edges. That is, n =|V| and m =|E|. We say G is k-colorable if each vertex can be given one of k colors, and no edge connects identically colored vertices. Give a linear-time algorithm (that is, in O(n+m) time) to test a graph for two-colorability. Assume G is stored in adjacency-list format; you must specify any additional data structures that are needed.

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