A Degree Condition for a Graph to have $(a,b)$-Parity Factors

Haodong Liu, Hongliang Lu

Let $a,b,n$ be three positive integers such that $a\equiv b(\mathrm{mod}2)$ and $n\ge b(a+b)(a+b+2)/(2a)$. Let $G$ be a graph of order $n$ with minimum degree at least $a+b/a-1$. We show…