Strengthening theorems of Dirac and Erdős on disjoint cycles

Henry A. Kierstead, Alexandr V. Kostochka, Andrew McConvey

Let $k\ge 3$ be an integer, $H_k(G)$ be the set of vertices of degree at least $2k$ in a graph $G$, and $L_k(G)$ be the set of vertices of degree at most $2k-2$ in $G$. In 196…