Cyclic and dihedral 1-factorizations of multipartite graphs (Q640435)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cyclic and dihedral 1-factorizations of multipartite graphs |
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Cyclic and dihedral 1-factorizations of multipartite graphs (English)
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18 October 2011
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An automorphism group \(G\) of a \(1\)-factorization of the complete graph \(K_{m\times n}\) consists of permutations of the vertices of the graph mapping factors to factors. In this work is given a complete answer to the existence problem of a \(1\)-factorization of \(K_{m\times n}\) admitting a cycle or dihedral group acting sharply transitively on the vertices of the graph.
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multipartite graphs
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\(r\)-factor
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perfect matching
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