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Design a linear-time (O(|V | + |E|)) algorithm which, given an undirected graph G and a particular edge e in it, determines whether G has

Design a linear-time (O(|V | + |E|)) algorithm which, given an undirected graph G and a particular edge e in it, determines whether G has a cycle containing e. (Design the algorithm, justify its correctness and justify its runtime.)

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