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The energy and edge energy of some Cayley graphs on the abelian group $\mathbb{Z}_{n}^{4}$ | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 10، دوره 9، شماره 1، خرداد 2024، صفحه 119-130 اصل مقاله (379.25 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28642.1647 | ||
| نویسنده | ||
| Fateme Movahedi* | ||
| Golestan University | ||
| چکیده | ||
| Let $G=(V, E)$ be a simple graph such that $\lambda_1, \ldots, \lambda_n$ be the eigenvalues of $G$. The energy of graph $G$ is denoted by $E(G)$ and is defined as $E(G)=\sum_{i=1}^{n}|\lambda_{i}|$. The edge energy of $G$ is the energy of line graph $G$. In this paper, we investigate the energy and edge energy for two Cayley graphs on the abelian group $\mathbb{Z}_{n}^{4}$, namely, the Sudoku graph and the positional Sudoku graph. Also, we obtain graph energy and edge energy of the complement of these two graphs. | ||
| کلیدواژهها | ||
| Graph energy؛ Abelian group؛ Spectrum؛ Complement؛ Line graph | ||
| مراجع | ||
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