Yazd University Algebraic Structures and Their Applications 2382-9761 10 2 2023 08 01 The minimum edge dominating energy of the Cayley graphs on some symmetric groups 15 30 3001 10.22034/as.2023.3001 EN Sharife Chokani Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran. Fateme Movahedi Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran. Seyyed Mostafa Taheri Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran. Journal Article 2021 12 20 The minimum edge dominating energy of a graph $G$ is defined as the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of $G$. In this paper, for some finite symmetric groups $\Gamma$ and subset $S$ of $\Gamma$, the minimum edge dominating energy of the Cayley graph of the group $\Gamma$, denoted by $Cay(\Gamma, S)$, is investigated. https://as.yazd.ac.ir/article_3001_5f5ea884184e697b6bbb7a12186a98c3.pdf