Partitionable perfect cycle systems with cycle lengths 6 and 8 Original Research Article

The spectrum for the decomposition of Kr into partitionable 2-perfect 6-cycle systems and partitionable 2-perfect 8-cycle systems is determined, except for four isolated cases. (The nonpartitionable cases were done by Lindner, Phelps and Rodger (1991) and by Adams and Billington (1994), respectively.) Moreover, the spectra for both 3-perfect 8-cycle systems and partitionable 3-perfect 8-cycle systems are also determined.