Extending a result by A. Hartman and A. Rosa [European J. Combin. 6 (1985), no. 1, 45--48], we prove that for any abelian group $G$ of even order, except for $G\simeq Z_{2^n}$ with $n>2$, there exists a one-factorization of the complete graph admitting $G$ as a sharply-vertex-transitive automorphism group.
Abelian 1-factorizations of the complete graph / Buratti, Marco. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - 22:(2001), pp. 291-295.
Abelian 1-factorizations of the complete graph
BURATTI, Marco
2001
Abstract
Extending a result by A. Hartman and A. Rosa [European J. Combin. 6 (1985), no. 1, 45--48], we prove that for any abelian group $G$ of even order, except for $G\simeq Z_{2^n}$ with $n>2$, there exists a one-factorization of the complete graph admitting $G$ as a sharply-vertex-transitive automorphism group.File allegati a questo prodotto
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