Open AccessIVIG-Induced Topology From Tritopological Space On Undirected Graphs
Author(s) -
Zainab Irhayyim Abed,
Asmhan Flieh Hassan
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/928/4/042031
Subject(s) - topology (electrical circuits) , mathematics , comparison of topologies , product topology , extension topology , undirected graph , topological graph theory , general topology , network topology , topological space , space (punctuation) , graph , combinatorics , discrete mathematics , computer science , pathwidth , line graph , operating system
The aim of this article is to associate a tritopological space with undirected graph G = ( V , E ), i.e. three different topologies induced from the same graph or three different graphs. These tritopologies are the unique three proposed to associate topological spaces with graphs, the first which we proposed recently ( Independent Topology ) in 2020, the second is ( Incidence Topology ) proposed in 2018 and the third is proposed in 2013 ( Graphic Topology ). Then some properties of this tritopological space were investigated. Giving a fundamental step toward studying some properties of undirected graphs by their corresponding tritopological spaces is our motivation.