New families of atomic Latin squares and perfect 1-factorisations

Bryant, Darryn; Maenhaut, Barbara; Wanless, Ian

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New families of atomic Latin squares and perfect 1-factorisations

Date

2006

Authors

Bryant, Darryn

Maenhaut, Barbara

Wanless, Ian

Publisher

Academic Press

Abstract

A perfect 1 -factorisation of a graph G is a decomposition of G into edge disjoint 1 -factors such that the union of any two of the factors is a Hamiltonian cycle. Let p ≥ 11 be prime. We demonstrate the existence of two non-isomorphic perfect 1-factori