Subgroup perfect codes of $S_n$ in Cayley sum graphs

Ankan Shaw, Biswajit Mondal, Satya Bagchi

A perfect code in a graph $\hat{I}“=(V,E)$ is a subset $C$ of $V$ such that no two vertices in $C$ are adjacent, and every vertex in $V\setminus C$ is adjacent to exactly one vertex i…