Article ID Journal Published Year Pages File Type
4631862 Applied Mathematics and Computation 2010 8 Pages PDF
Abstract

An edge cut X of a connected graph G is a k  -restricted edge cut if G-XG-X is disconnected and every component of G-XG-X has at least k vertices. Additionally, if the deletion of a minimum k-restricted edge cut isolates a connected component of k vertices, then the graph is said to be super-  λkλk. In this paper, several sufficient conditions yielding super-λkλk graphs are given in terms of the girth and the diameter.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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