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On the energy of the line graph of unitary Cayley graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 22، دوره 11، شماره 1، خرداد 2026، صفحه 297-306 اصل مقاله (344.24 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29624.2091 | ||
| نویسنده | ||
| Fateme Movahedi* | ||
| Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran | ||
| چکیده | ||
| The energy of a graph $G$ is the sum of the absolute values of the eigenvalues of its adjacency matrix. The energy of the line graph of graph $G$ is denoted by $E(L(G))$. The unitary Cayley graph $X_n$ is a graph with the vertex set $Z_n=\{0, 1, \ldots, n-1\}$ and the edge set $\{(a,b) \, : \, ged(a-b,n)=1\}$. In this paper, we focus on the line graph of the unitary Cayley graph $X_n$ and compute the spectrum of line graphs of $X_n$ and its complement graph $\overline{X_n}$. We also obtain the energy of the line graph of $X_n$ and $\overline{X_n}$. | ||
| کلیدواژهها | ||
| graph energy؛ unitary Cayley graph؛ spectrum؛ complement؛ line graph | ||
| مراجع | ||
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