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

Author(s):

Sharife Chokani , Fateme Movahedi * , Seyyed Mostafa Taheri

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

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

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:10 Issue: 2, Summer-Autumn 2023
Pages:
15 to 30
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