A 1-factorization of a complete graph is said to be regular if it admits an automorphism group with a sharply transitive action on the vertex set. Which abstract groups can realize such a situation? The complete answer is still unknown but the problem has been solved in some cases. We illustrate the state of art.
Vertex-regular 1-factorizations of the complete graph / Rinaldi, Gloria. - In: LECTURE NOTES OF SEMINARIO INTERDISCIPLINARE DI MATEMATICA. - ISSN 2284-0206. - STAMPA. - 14:(2017), pp. 143-153.
Vertex-regular 1-factorizations of the complete graph
RINALDI, Gloria
2017-01-01
Abstract
A 1-factorization of a complete graph is said to be regular if it admits an automorphism group with a sharply transitive action on the vertex set. Which abstract groups can realize such a situation? The complete answer is still unknown but the problem has been solved in some cases. We illustrate the state of art.
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