The Degree-Topology of CertainTypes of Graphs and PT0-Space

Zainab Naji  Hameed; Hiyam Hassan  Kadhem

doi:10.24996/ijs.2024.65.10.28

Authors

Zainab Naji Hameed Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf, Iraq
Hiyam Hassan Kadhem Department of Computer Science, Faculty of Education, University of Kufa, Najaf, Iraq https://orcid.org/0000-0001-8374-6366

DOI:

https://doi.org/10.24996/ijs.2024.65.10.28

Keywords:

Degree-topological Space, PT_0-Space

Abstract

This work aimed to study the degree topology of certain types of graphs namely, the wheel, helm, gear, pan, tadpole, and windmill graphs, respectively. In addition, a new separation axiom known as -space that joins the topological space and paths in the graph is introduced. Also, the relation between -space and the degree-topology of the connected and disconnected graph was stydied. Moreover, many examples were studied in new separation space.

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Published

2024-10-30

Issue

Vol 65 No 10 (2024)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]

Z. N. . Hameed and H. H. . Kadhem, “The Degree-Topology of CertainTypes of Graphs and PT0-Space”, Iraqi Journal of Science, vol. 65, no. 10, pp. 5652–5667, Oct. 2024, doi: 10.24996/ijs.2024.65.10.28.