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Show that a depth-first search of an undirected graph g can be used to identify the connected components of g, and that the depth-first forest contains as many trees as g has connected components. more precisely, show how to modify depth-first search so that each vertex v is assigned an integer label cc[v] between 1 and k, where k is the number of connected components of g, such that cc[u] = cc[v] if and only if u and v are in the same connected component

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