Non-Isomorphic Perfect one-Factorizations from Skolem Sequences and Starters

David A. Pike1, Nabil Shalaby1
1Department of Mathematics and Statistics Memorial University of Newfoundland St. John’s, Newfoundland, Canada, AIC 557

Abstract

We provide complete lists of starters and Skolem sequences which generate perfect one-factorizations of complete graphs up to order \(32\) for starters and \(36\) for Skolem sequences. The resulting perfect one-factorizations are grouped into isomorphism classes, and further analysis of the results is performed.