On the subgroup regular set in Cayley graphs

Asamin Khaefi, Zeinab Akhlaghi, Behrooz Khosravi

A subset $C$ of the vertex set of a graph $\Gamma$ is said to be $(a,b)$-regular if $C$ induces an $a$-regular subgraph and every vertex outside $C$ is adjacent to exactly $b$ vertices…