Given a finite group G of even order, which graphs T have a 1-factorization admitting G as an automorphism group with a sharply transitive action on the vertex-set? Starting from this question we prove some general results and develop an exhustive analysis when T is a complete multipartite graph and G is cyclic.
Sharply transitive 1-factorizations of complete multipartite graphs / Mazzuoccolo, Giuseppe; Rinaldi, Gloria. - In: ELECTRONIC JOURNAL OF COMBINATORICS. - ISSN 1077-8926. - ELETTRONICO. - 17:1(2010), pp. 1-14. [10.37236/349]
Sharply transitive 1-factorizations of complete multipartite graphs
MAZZUOCCOLO, Giuseppe;RINALDI, Gloria
2010
Abstract
Given a finite group G of even order, which graphs T have a 1-factorization admitting G as an automorphism group with a sharply transitive action on the vertex-set? Starting from this question we prove some general results and develop an exhustive analysis when T is a complete multipartite graph and G is cyclic.
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