Article ID Journal Published Year Pages File Type
418805 Discrete Applied Mathematics 2009 5 Pages PDF
Abstract

A graph is superconnected, for short super-κκ, if all minimum vertex-cuts consist of the vertices adjacent with one vertex. In this paper we prove for any rr-regular graph of diameter DD and odd girth gg that if D≤g−2D≤g−2, then the graph is super-κκ when g≥5g≥5 and a complete graph otherwise.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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