Cyclic hamiltonian cycle systems of the complete multipartite graph: even number of parts

Francesca Merola, Anita Pasotti, Marco Antonio Pellegrini

A hamiltonian cycle system (HCS, for short) of a graph $\Gamma$ is a partition of the edges of $\Gamma$ into hamiltonian cycles. A HCS is cyclic when it is invariant under a cyclic permutati…