Asked by Brent

Let G be an arbitrary graph with at least 2 vertices. We construct a graph H by adding two vertices x and y to G, with every possible edge between vertices of G and x, y. Prove that H will never have any cut vertices, no matter what graph G we start with.

Answers

Answered by PsyDAG
Cannot graph on these posts.
Answered by oobleck
This article should give you a good starting point.

www.tutorialspoint.com/graph_theory/graph_theory_connectivity.htm
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