Cyclic and Dihedral 1-Factorizations of Multipartite Graphs

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Cyclic and Dihedral 1-Factorizations of Multipartite Graphs

An automorphism group G of a 1-factorization of the complete multipartite graph Km×n consists of permutations of the vertices of the graph mapping factors to factors. In this paper, we give a complete answer to the existence problem of a 1-factorization of Km×n admitting a cyclic or dihedral group acting sharply transitively on the vertices of the graph.

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2011

ISSN: 1077-8926

DOI: 10.37236/666