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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 Kg.