On Degree Topology and Set-T_0 space

Zainab Naji Hameed; Hiyam Hassan Kadhem

doi:10.31185/wjcm.91

On Degree Topology and Set-T_0 space

Authors

Zainab Naji Hameed Faculty of Education for Girls, University of Kufa, Iraq
Hiyam Hassan Kadhem Faculty of Education, University of Kufa, Iraq

DOI:

https://doi.org/10.31185/wjcm.91

Keywords:

Degree- topological Space, Set-T_0 space

Abstract

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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