Efficient domination in cubic vertex-transitive graphs

نویسندگان

Martin Knor

Primoz Potocnik

چکیده

An independent set of vertices S of a graph dominates the graph efficiently if every vertex of the graph is either in S or has precisely one neighbour in S. In this paper we prove that a connected cubic vertex-transitive graph on a power of 2 vertices has a set that dominates it efficiently if and only if it is not isomorphic to a Möbius ladder. This is a preprint of an article accepted for publication in the European Journal of Combinatorics c ©2012 (copyright owner as specified in the jour-

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