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Design and analyze an algorithm which takes as an input an undirected graph, G, and an edge,e= (u, v), and determines whether G has a

Design and analyze an algorithm which takes as an input an undirected graph, G, and an edge,e= (u, v), and determines whether G has a cycle containing e.

Design and analyze means:

Give pseudocode for your algorithm.

Prove that your algorithm is correct.

Give the running time for your algorithm

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