Question: 1. Let G = (V. E) be a directed graph. Define a graph G2-(VE') as follows: V,-V: (u, v) E E if there is a

1. Let G = (V. E) be a directed graph. Define

1. Let G = (V. E) be a directed graph. Define a graph G2-(VE') as follows: V,-V: (u, v) E E if there is a a path of length 2 between u and v in G. Suppose that a directed graph G is given as adjacency list. Give a 0(mn)-time algorithm to compute G2. Derive the time bound. Here m is number of edges in G and n is number of vertices in G Suppose that a directed graph G is given as adjacency matrix. Given an algorithm to compute G2. Derive the run time of your algorithm

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