International Journal of Nonlinear Analysis and Applications

Some dominating results of the topological graph

Document Type : Research Paper

Authors

Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 2
February 2023
Pages 133-140
  • Receive Date: 09 January 2022
  • Revise Date: 28 February 2022
  • Accept Date: 21 March 2022