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Perfect 1-Factorizations of \(K_{16}\) with Nontrivial Automorphism Group

Mariusz Meszka1, Alexander Rosa1
1Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

Abstract

We establish that up to an isomorphism there are exactly 88 perfect 1-factorizations of \( K_{16} \) having nontrivial automorphism group. We also present some related results.