Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran.
10.22124/jart.2023.23490.1476
Abstract
Let $\Gamma$ be a finite group and $S$ be a non-empty subset of $\Gamma$. A Cayley graph of the group $\Gamma$, denoted by $Cay(\Gamma, S)$ is defined as a simple graph that its vertices are the elements of $\Gamma$ and two vertices $u$ and $v$ are adjacent if $uv^{-1} \in \Gamma$. The minimum edge dominating energy of Cayley graph $Cay(\Gamma, S)$ is equal to the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of graph $Cay(\Gamma, S)$. In this paper, we estimate the minimum edge dominating energy of the Cayley graphs for the finite group $S_n$.
Chokani, S., Movahedi, F., & Taheri, S. M. (2023). Some results of the minimum edge dominating energy of the Cayley graphs for the finite group Sn. Journal of Algebra and Related Topics, 11(2), 135-148. doi: 10.22124/jart.2023.23490.1476
MLA
Sh. Chokani; F. Movahedi; S. M. Taheri. "Some results of the minimum edge dominating energy of the Cayley graphs for the finite group Sn". Journal of Algebra and Related Topics, 11, 2, 2023, 135-148. doi: 10.22124/jart.2023.23490.1476
HARVARD
Chokani, S., Movahedi, F., Taheri, S. M. (2023). 'Some results of the minimum edge dominating energy of the Cayley graphs for the finite group Sn', Journal of Algebra and Related Topics, 11(2), pp. 135-148. doi: 10.22124/jart.2023.23490.1476
VANCOUVER
Chokani, S., Movahedi, F., Taheri, S. M. Some results of the minimum edge dominating energy of the Cayley graphs for the finite group Sn. Journal of Algebra and Related Topics, 2023; 11(2): 135-148. doi: 10.22124/jart.2023.23490.1476
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