Some results and properties of non-incidence topological spaces in simple graphs

Hassan, Asmhan Flieh; Jafar, Ammar Mousa

doi:10.1063/5.0114876

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“…Hassan and Abed [4] introduced a family of sub-basis for a topology to define a new independent topology on undirected graphs. In addition, Hassan and Jafar [5] This work is aimed to introduce a new topology on a graph, namely the degree topology. This topology is defined by the degree of the vertices of the graphs.…”

Section: Introductionmentioning

confidence: 99%

On Degree Topology and Set-T_0 space

Hameed

Kadhem

2022

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This work is aimed to introduce a new topology on a graph, namely the degree topology. This topology is defined by the degree of the vertices of the graphs. We find the degree topology for certain types of graphs and determine their types. The degree topology for the complete graph is an indiscrete topology. While The degree topology is generated by a complete bipartite graph with is a quasi-discrete topology. In addition, a new property is initiated namely set- space and discussed the link between it and space. We verify that every degree topology is a set- space.

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Section: Introductionmentioning

confidence: 99%