Neighborhood Unions Conditions of Pancyclicity in Claw-FreeGraphs}{XU Jun
无爪图泛圈性的邻域并条件

It is proven that if $G$ is a 3-connected claw-free graph of order $p(p \neq 10,11,15)$, and $ |N(u) \cup N(v)| \geq {{p-1} \over 2}$ for each pair of nonadjacent vertices $u$ and $v$, then $G$ is pancyclic.