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Some results of domination on the discrete topological graph with its inverse | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 14، شماره 6، شهریور 2023، صفحه 23-29 اصل مقاله (615.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6849 | ||
| نویسندگان | ||
| Zainab N. Jwair؛ Mohammed A. Abdlhusein* | ||
| Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq | ||
| تاریخ دریافت: 22 اسفند 1400، تاریخ بازنگری: 16 فروردین 1401، تاریخ پذیرش: 29 اردیبهشت 1401 | ||
| چکیده | ||
| Let $G_{\tau }=\left(V,\ E\right)$ be a topological graph which is a finite, simple, undirected, connected graph without isolated vertices. In this paper, several bounds and domination parameters are studied and applied to it: bi-domination, doubly connected bi-domination and pitchfork domination. The dominating set and domination number with its inverse for all these types are calculated. Also, some figures from the topological graph are introduced. | ||
| کلیدواژهها | ||
| Topological graph؛ discrete topology؛ dominating set؛ domination number | ||
| مراجع | ||
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