Article ID Journal Published Year Pages File Type
4648272 Discrete Mathematics 2010 9 Pages PDF
Abstract

A graph is said to be kk-extendable   if any independent set of kk edges extends to a perfect matching. In this paper, we shall characterize the forbidden structures for 5-connected graphs on the Klein bottle to be 2-extendable. This fact also gives us a sharp lower bound of representativity of 5-connected graphs embedded on the Klein bottle to have such a property, which was considered in Kawarabayashi et al. (submitted for publication) [4].

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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