ING-induced topology from tritopological space on a locally finite graph

Hassan, Asmhan Flieh; Jabir, Sundus Najah; Redha Abdulhasan, Alaa Mohammed

doi:10.22075/ijnaa.2022.5954

ING-induced topology from tritopological space on a locally finite graph

Document Type : Research Paper

Authors

Asmhan Flieh Hassan ¹

Sundus Najah Jabir ¹

Alaa Mohammed Redha Abdulhasan ²

¹ Department of Mathematics, Faculty of Education for Girls, University of Kufa, Iraq

² Department of Law, Faculty of Law, The Islamic University, 54001 Najaf, Iraq

10.22075/ijnaa.2022.5954

Abstract

The aim of this article is to associate a tritopological space with a locally finite graph, and induce a new type of topology from three well-known topologies on the same locally finite graph. These are the three tritopologies proposed recently to associate topological spaces with undirected graphs, the first (Independent Topology), the second is (Non-Incidence Topology) and the third is (Graphic Topology). Then some results and properties of these tritopological spaces and new induced topologies were investigated. Giving a fundamental step toward studying some properties of locally finite graphs by their corresponding tritopological spaces is our motivation.

Keywords

locally finite graphs

Tritopological spaces

Independent Topology

Non-Incidence Topology

Graphic Topology

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