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
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 in questo prodotto:
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