The minimum edge dominating energy of the Cayley graphs on some symmetric groups

نویسندگان
Movahedi, Fateme ID 1
Chokani, Sharife ID 2
Taheri, Seyyed Mostafa ID 3

1 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran

2 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran

3 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran

doi
10.22034/as.2023.3001
چکیده

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.

کلیدواژه‌ها
Cayley graph, Eigenvalue, Minimum edge dominating energy, Symmetric group