Question: Let G (V. E) be an undirected graph. Let s, t e V be a pair of vertices such that the length of the shortest

 Let G (V. E) be an undirected graph. Let s, t

Let G (V. E) be an undirected graph. Let s, t e V be a pair of vertices such that the length of the shortest path from s to t in G has length greater than |V1/2, i.e. the number of edges in this path is greater than IV1/2. Prove or disprove that there must exist a vertex v EV-{s,t such that the deletion of v disconnects G

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