The Hamilton-Waterloo Problem for Triangle-Factors and Heptagon-Factors

Hongchuan Lei, Hung-Lin Fu

Given 2-factors $R$ and $S$ of order $n$, let $r$ and $s$ be nonnegative integers with $r+s=\lfloor \frac{n-1}{2}\rfloor$, the Hamilton-Waterloo problem asks for a 2-factorization…