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Question: provide an algorithm that given an undirected graph g with...

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Provide an algorithm that given an undirected graph G with n vertices and m edges as input, finds out whether G contains a cycle. Verify that your algorithm runs in O(n + m) time and Provide an algorithm that given a directed graph G with n vertices and m edges as input, finds out whether G contains a cycle. Verify that your algorithm runs in O(n + m) time

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