Geodesic
Cyclic and dihedral 1-factorizations of multipartite graphs
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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An automorphism group $G$ of a $1$-factorization of the complete multipartite graph $K_{m\times n}$ 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 $K_{m\times n}$ admitting a cyclic or dihedral group acting sharply transitively on the vertices of the graph.
DOI : 10.37236/666
Classification : 05C25, 05C70
Mots-clés : multipartite graphs, \(r\)-factor, perfect matching 
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Mathieu Bogaerts; Giuseppe Mazzuoccolo. Cyclic and dihedral 1-factorizations of multipartite graphs. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/666

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