On the Existence of General Factors in Regular Graphs

Hongliang Lu, David G. L. Wang, Qinglin Yu

Let $G$ be a graph, and $H:V(G)\to 2^{\mathbb{N}}$ a set function associated with $G$. A spanning subgraph $F$ of $G$ is called an $H$-factor if the degree of any vertex $v$ in…