Abelian 1-factorizations of the complete graph (Q5937421)
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scientific article; zbMATH DE number 1619143
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abelian 1-factorizations of the complete graph |
scientific article; zbMATH DE number 1619143 |
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Abelian 1-factorizations of the complete graph (English)
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6 September 2001
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The author considers the problem for which groups \(G\) there exists a \(1\)-factorization of the complete graph admitting \(G\) as a sharply-vertex-transitive automorphism group. He settles the problem for abelian groups by proving that any abelian group of even order that is not a cyclic 2-group is a solution of this problem. This way he extends a result by \textit{A. Hartman} and \textit{A. Rosa} [Eur. J. Comb. 6, 45-48 (1985; Zbl 0624.05051)].
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matching
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covering
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\(1\)-factorization
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sharply-vertex-transitive automorphism group
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abelian group
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