  The Hamilton-Waterloo problem is a problem of graph factorization. The
Hamilton-Waterloo problem HWP$(H;m,n;\alpha,\beta)$ asks for a
$2$-factorization of $H$ containing $\alpha$ $C_m$-factors and $\beta$
$C_n$-factors. In this paper, we almost completely solve the Hamilton-Waterloo
problem on wreath product graph $C_m \wr K_{16}$ with $C_{16}$-factors and
$C_m$-factors for an odd integer $m$.

Combinatorics