Incidence Topological Spaces Generated from The Simple Undirected Graphs

Noor; Faik J.

doi:https://doi.org/10.54216/PMTCS.040101

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Volume 4 • Issue 1 • PP: 08-15 • 2024

Incidence Topological Spaces Generated from The Simple Undirected Graphs

Noor Nouman ^1*

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,

Faik J. Mayah ²

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¹Department of Physics, College of Science, Wasit University, Wasit, Iraq

²Department of Mathematics, College of Education for Pure Science, Wasit University, Wasit, Iraq

* Corresponding Author.

DOI https://doi.org/10.54216/PMTCS.040101

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Received: December 23, 2023 Revised: March 10, 2024 Accepted: May 21, 2024

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Abstract

In this paper, we investigate topologies produced by simple connected graphs. In particular, we associate a topology with G, called the incidence topology of G. A sub-base family to generate a incidence topology is implemented on the Vertices V set. Then we analyze some of the properties and discuss the impact topology of a few essential types of graphs. Our motivation in this section is to take a fundamental step towards the investigation of some of the characteristics of simple graphs by their corresponding incidence topology.

Keywords

Finite Topological Spaces Connected Simple Graphs Topologies undirected graphs.

References

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Nouman, Noor, Mayah, Faik J.. "Incidence Topological Spaces Generated from The Simple Undirected Graphs." Pure Mathematics for Theoretical Computer Science, vol. Volume 4, no. Issue 1, 2024, pp. 08-15. DOI: https://doi.org/10.54216/PMTCS.040101

Nouman, N., Mayah, F. (2024). Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science, Volume 4(Issue 1), 08-15. DOI: https://doi.org/10.54216/PMTCS.040101

Nouman, Noor, Mayah, Faik J.. "Incidence Topological Spaces Generated from The Simple Undirected Graphs." Pure Mathematics for Theoretical Computer Science Volume 4, no. Issue 1 (2024): 08-15. DOI: https://doi.org/10.54216/PMTCS.040101

Nouman, N., Mayah, F. (2024) 'Incidence Topological Spaces Generated from The Simple Undirected Graphs', Pure Mathematics for Theoretical Computer Science, Volume 4(Issue 1), pp. 08-15. DOI: https://doi.org/10.54216/PMTCS.040101

Nouman N, Mayah F. Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science. 2024;Volume 4(Issue 1):08-15. DOI: https://doi.org/10.54216/PMTCS.040101

N. Nouman, F. Mayah, "Incidence Topological Spaces Generated from The Simple Undirected Graphs," Pure Mathematics for Theoretical Computer Science, vol. Volume 4, no. Issue 1, pp. 08-15, 2024. DOI: https://doi.org/10.54216/PMTCS.040101

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