Question: A connected graph is one in which every vertex is reachable from every other vertex. Prove that every connected undirected graph has a vertex whose

 A connected graph is one in which every vertex is reachable

A connected graph is one in which every vertex is reachable from every other vertex. Prove that every connected undirected graph has a vertex whose removal (including all adjacent edges) will not disconnect the graph. Design an algorithm to find a vertex whose removal will not disconnect the graph. You may find it easier to construct a proof around an algorithm

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