Genus and crosscap of Normal subgroup based power graphs of finite groups

Parveen, Manisha, Jitender Kumar

Let $H$ be a normal subgroup of a group $G$. The normal subgroup based power graph ${\Gamma }_H(G)$ of $G$ is the simple undirected graph with vertex set $V(Γ_H(G))= (G\setminus H)\cup \{e…