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On the semitotal dominating sets of graphs | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 37-46 اصل مقاله (298.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.23672.1496 | ||
| نویسندگان | ||
| H. Zaherifar؛ S. Alikhani* | ||
| Department of Mathematical Sciences, Yazd University, Yazd, Iran | ||
| چکیده | ||
| A set $D$ of vertices in an isolate-free graph $G$ is a semitotal dominating set of $G$ if $D$ is a dominating set of $G$ and every vertex in $D$ is within distance $2$ from another vertex of $D$. The semitotal domination number of $G$ is the minimum cardinality of a semitotal dominating set of $G$ and is denoted by $\gamma_{t2}(G)$. In this paper after computation of semitotal domination number of specific graphs, we count the number of this kind of dominating sets of arbitrary size in some graphs. | ||
| کلیدواژه‌ها | ||
| Dominating set؛ semitotal domination number؛ product | ||
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آمار تعداد مشاهده مقاله: 154 تعداد دریافت فایل اصل مقاله: 253 |
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