Question: 1. (10 points) Give an algorithm to detect whether a given undirected graph contains a cycle. if the graph contains a cycle, then your algorithm

1. (10 points) Give an algorithm to detect whether a given

1. (10 points) Give an algorithm to detect whether a given undirected graph contains a cycle. if the graph contains a cycle, then your algorithm should output one. Analyze the running time of your algorithm. It should be linear time, ie. O(n + m) for a graph with n nodes and m edges

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