A Pósa-type condition of potentially ${}_3{C}_{\ell }$-graphic sequences

Guang-Ming Li, Jian-Hua Yin

A non-increasing sequence $\pi =(d_1,\dots ,d_n)$ of nonnegative integers is said to be graphic if it is realizable by a simple graph $G$ on $n$ vertices. A graphic sequence $π=(d_1,\…