The Hamilton-Waterloo Problem for Hamilton Cycles and \(C_{4k}\)-Factors

Hongchuan Lei1, Hung-Lin Fu2, Hao Shen1
1Department of Mathematics, Shanghai Jiao Tong University
2 Department of Applied Mathematics, National Chiao Tung University

Abstract

In this paper, we give a complete solution to the Hamilton-Waterloo problem for the case of Hamilton cycles and \(C_{4k}\)-factors for all positive integers \(k\).