Some dominating results of the join and corona operations between discrete topological graphs

	Some dominating results of the join and corona operations between discrete topological graphs
International Journal of Nonlinear Analysis and Applications
مقاله 22، دوره 14، شماره 5، مرداد 2023، صفحه 235-242 اصل مقاله (849.9 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6795
نویسندگان
Mays K. Idan؛ Mohammed A. Abdlhusein^*
Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
چکیده
The dominating sets play an important role in applications of graph theory. In this field, some recent studies discussed the properties of the minimum dominating set ($\gamma $-set). The other type of study produces a topological space from the set of vertices or the set of edges of a graph. The previous paper introduces a new method to construct a graph $G_{\tau }$ from the topological space. In this paper, the dominating set and the domination number of $G_{\tau }$ are proved with their inverse. The domination number and inverse domination number of corona operation and join operation between two graphs are discussed.
کلیدواژه‌ها
dominating set؛ inverse dominating set؛ corona operation؛ join operation
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