Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 2 2023 02 01 Some dominating results of the topological graph 133 140 6404 10.22075/ijnaa.2022.6404 EN Zainab N. Jwair Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq Mohammed A. Abdlhusein Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq Journal Article 2022 01 09 Let $G_{\tau}=(V, E)$ be a topological graph constructed from the topological space $(X, \tau)$. In this paper, several types of dominating parameters are applied on the topological graph $G_{\tau}$. Such as independent domination, total domination, connected domination, doubly connected domination, restrained domination, strong domination and weak domination. Also, the inverse domination of all these parameters was proved. https://ijnaa.semnan.ac.ir/article_6404_4e56c44dfa1af2cc6c82a5452d4a7d82.pdf