A Perfect One-factorization of \(K_{50}\)

E.C. lhrig1, E. Seah1, D.R. Stinson1
1Arizona State University, University of Manitoba, and University of Manitoba

Abstract

We enumerate the perfect one-factorizations of \(K_{50}\), which are generated by starters in \({Z}_{49}\), fixed by multiplication by \(18\) and \(30\). There are precisely \(67\) non-isomorphic examples.