Edge-disjoint Hamilton cycles under a bipartite-hole condition

Yanan Hu, Chengli Li, Feng Liu

In 2017, McDiarmid and Yolov introduced the bipartite-hole-number $\tilde{\hat{I}}\pm (G)$ and proved that $\hat{I}´(G)\ge \tilde{\hat{I}}\pm (G)$ forces a Hamilton cycle. They also gave a sufficient…