Almost resolvable even cycle systems of $(K_u\times K_g)(\lambda )$

Abstract

In this paper, we prove that almost resolvable $k$-cycle systems (briefly $k$-ARCS) of $(K_u\times K_g)(\lambda )$ exists for all $k\equiv 0(mod4)$ with few possible exceptions, where $\times$ represents tensor product of graphs.

arXiv comment20 pages