MATHEMATICA BOHEMICA, Vol. 136, No. 1, pp. 25-26, 2011

A simple proof of Whitney's Theorem on connectivity in graphs

Kewen Zhao

Kewen Zhao, Department of Mathematics, Qiongzhou University, Sanya, Hainan, 572022, P. R. China, e-mail: kewen.zhao@yahoo.com.cn

Abstract: In 1932 Whitney showed that a graph $G$ with order $n\geq3$ is 2-connected if and only if any two vertices of $G$ are connected by at least two internally-disjoint paths. The above result and its proof have been used in some Graph Theory books, such as in Bondy and Murty's well-known Graph Theory with Applications. In this note we give a much simple proof of Whitney's Theorem.

Keywords: connectivity, graph

Classification (MSC 2010): 05C38, 05C45

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