Question: Given two specified vertices u and v in a directed graph G=(V,E), compute {kV:(u,k) E(k,v)E} (i.e., the number of different intermediate vertices k for which

Given two specified vertices u and v in a directed graph G=(V,E), compute {kV:(u,k) E(k,v)E} (i.e., the number of different intermediate vertices k for which there is an edge from u to k and an edge from k to v ). Let n be the number of vertices and m be the number of edges in the graph. (a) Assuming an adjacency list representation of a graph, give an algorithm to efficiently solve this problem. Clearly describe your algorithm and analyze its worst case time complexity. (b) Assuming an adjacency matrix representation of a graph, give an algorithm to efficiently solve this problem. Clearly describe your algorithm and analyze its worst case time complexity

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