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On coherent configuration of circular-arc graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 1، دوره 10، شماره 1، خرداد 2025، صفحه 1-19 اصل مقاله (450.96 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2023.28816.1735 | ||
| نویسندگان | ||
| Fatemeh Raei Barandagh* 1؛ Amir Rahnamai Barghi2 | ||
| 1Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran | ||
| 2Department of Mathematics, K. N. Toosi University of Technology, Tehran, Iran | ||
| چکیده | ||
| For any graph, Weisfeiler and Leman assigned the smallest matrix algebra which contains the adjacency matrix of the graph. The coherent configuration underlying this algebra for a graph $\Gamma$ is called the coherent configuration of $\Gamma$, denoted by $\mathcal{X}(\Gamma)$. In this paper, we study the coherent configuration of circular-arc graphs. We give a characterization of the circular-arc graphs $\Gamma$, where $\mathcal{X}(\Gamma)$ is a homogeneous coherent configuration. Moreover, all homogeneous coherent configurations which are obtained in this way are characterized as a subclass of Schurian coherent configurations. | ||
| کلیدواژهها | ||
| coherent configuration؛ homogeneous؛ circular-arc graph؛ wreath product | ||
| مراجع | ||
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