The Hamilton-Waterloo Problem for $C_3$-factors and $C_n$-factors

Abstract

The Hamilton-Waterloo problem asks for a 2-factorization of $K_v$ (for $v$ odd) or $K_v$ minus a $1$-factor (for $v$ even) into $C_m$-factors and $C_n$-factors. We completely solve the Hamilton-Waterloo problem in the case of $C_3$-factors and $C_n$-factors for $n=4,5,7$.

arXiv admin note: text overlap with arXiv:1605.00818

References in corpus (1)

• On the Hamilton-Waterloo Problem with odd orders

Cited by in corpus (1)

• The Hamilton-Waterloo problem with C8-factors and Cm-factors