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Identifying code number of some Cayley graphs | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 255، دوره 13، شماره 2، مهر 2022، صفحه 3183-3189 اصل مقاله (379.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25180.2940 | ||
| نویسندگان | ||
| Somayeh Ahmadi1؛ Ebrahim Vatandoost* 1؛ Ali Bahraini2 | ||
| 1Department of Basic Science, Imam Khomeini International University, P. O. Box 3414896818, Qazvin, Iran | ||
| 2Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| تاریخ دریافت: 19 آبان 1400، تاریخ بازنگری: 01 اسفند 1400، تاریخ پذیرش: 29 اردیبهشت 1401 | ||
| چکیده | ||
| Let $\Gamma=(V, E)$ be a simple graph. A set $C$ of vertices $\Gamma$ is an identifying set of $\Gamma$ if for every two vertices $x$ and $y$ the sets $N_{\Gamma}[x] \cap C$ and $N_{\Gamma}[y] \cap C$ are non-empty and different. Given a graph $\Gamma,$ the smallest size of an identifying set of $\Gamma$ is called the identifying code number of $\Gamma$ and is denoted by $\gamma^{ID}(\Gamma).$ Two vertices $x$ and $y$ are twins when $N_{\Gamma}[x]=N_{\Gamma}[y].$ Graphs with at least two twin vertices are not identifiable graph. In this paper, we study identifying code number of some Cayley graphs. | ||
| کلیدواژه‌ها | ||
| Domination؛ Identifying code؛ Cayley graph | ||
| مراجع | ||
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