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Exercise 10.5.4: Edge connectivity between two vertices. Two vertices v and w in a graph G...

Exercise 10.5.4: Edge connectivity between two vertices.

Two vertices v and w in a graph G are said to be 2-edge-connected if the removal of any edge in the graph leaves v and w in the same connected component.

(a) Prove that G is 2-edge-connected if every pair of vertices in G are 2-edge-connected.

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