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The domination uniform subdivision number of $G^{++-}$ | ||
| Journal of Algebra and Related Topics | ||
| دوره 13، شماره 2، اسفند 2025، صفحه 177-185 اصل مقاله (160.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.26561.1624 | ||
| نویسندگان | ||
| T. B. Magizha1؛ A. Jebitha* 2؛ S. Sujitha3 | ||
| 1St. Xaviers Catholic College of Engineering (Autonomous), Nagercoil | ||
| 2Department of Mathematics, Holy Cross College (Autonomous), Nagercoil | ||
| 3Department of Mathematics, Holy Cross College (Autonomous) Nagercoil, Tamilnadu, India | ||
| چکیده | ||
| Theory of domination plays a vital role in network communications. Different domination parameters have been studied by various mathematicians. In this paper, the exact value of domination uniform subdivision number of transformation graphs $G^{++-}$ of some standard graphs are obtained. Furthermore, the bounds of ${usd}_\gamma (G^{++-})$ for any graph $G$ are obtained. Finally, ${sd}_ \gamma - $critical graph on $G^{++-}$ are characterized. | ||
| کلیدواژهها | ||
| Domination؛ Domination uniform subdivision؛ Transformation graphs | ||
| مراجع | ||
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