Contractible Subgraphs of Contraction Critically Quasi $5$-Connected Graphs

Shuai Kou, Chengfu Qin, Weihua Yang

Let $G$ be a contraction critically quasi $5$-connected graph on at least $14$ vertices. If there is a vertex $x\in V_4(G)$ such that $G[N_G(x)]\cong K_{1,3}$ or $G[N_{G}(x)]\c…