K vertex connected graph - Alchetron, the free social encyclopedia
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Theorem 2.4: Every two distinct vertices in a non-separable graph G of order 3 or more lie on a common cycle of G.Theorem 2.22: If G is a k-connected graph, where k ≥ 2, then every k vertices of G lie on a common cycle of G.Prove that the converse of Theorem 2.4 is true, but the converse of Theorem 2.22 is not true in general.
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