Invariants for \(2\)-Factorizations and Cycle Systems

I. J. Dejter1, P. I. Rivera- Vega1, A. Rosa2
1 Department of Mathematics and Computer Sciences University of Puerto Rico Rio Piedras, PR 00931 U.S.A.
2 Department of Mathematics and Statistics McMaster University Hamilton, Ontario Canada L8S 4K1

Abstract

We propose several invariants for cycle systems and \(2\)-factorizations of complete graphs, and enumerate the \(4\)- and \(6\)-cycle systems of \(K_g\).