Perfect codes in 2-valent Cayley digraphs on abelian groups

Shilong Yu, Yuefeng Yang, Yushuang Fan +1

For a digraph $\hat{I}“$, a subset $C$ of $V(\hat{I}“)$ is a perfect code if $C$ is a dominating set such that every vertex of $\hat{I}“$ is dominated by exactly one vertex in $C$. In this paper, we…