Pure Mathematics for Theoretical Computer Science

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https://doi.org/10.54216/PMTCS

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Volume 4 , Issue 1 , PP: 08-15, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Incidence Topological Spaces Generated from The Simple Undirected Graphs

Noor Nouman 1 * , Faik J. Mayah 2

  • 1 Department of Physics, College of Science, Wasit University, Wasit, Iraq - (namannoor921@gmail.com)
  • 2 Department of Mathematics, College of Education for Pure Science, Wasit University, Wasit, Iraq - (faik@uowasit.edu.iq)
  • Doi: https://doi.org/10.54216/PMTCS.040101

    Received: December 23, 2023 Revised: March 10, 2024 Accepted: May 21, 2024
    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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    Cite This Article As :
    Nouman, Noor. , J., Faik. Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science, vol. , no. , 2024, pp. 08-15. DOI: https://doi.org/10.54216/PMTCS.040101
    Nouman, N. J., F. (2024). Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science, (), 08-15. DOI: https://doi.org/10.54216/PMTCS.040101
    Nouman, Noor. J., Faik. Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science , no. (2024): 08-15. DOI: https://doi.org/10.54216/PMTCS.040101
    Nouman, N. , J., F. (2024) . Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science , () , 08-15 . DOI: https://doi.org/10.54216/PMTCS.040101
    Nouman N. , J. F. [2024]. Incidence Topological Spaces Generated from The Simple Undirected Graphs. Pure Mathematics for Theoretical Computer Science. (): 08-15. DOI: https://doi.org/10.54216/PMTCS.040101
    Nouman, N. J., F. "Incidence Topological Spaces Generated from The Simple Undirected Graphs," Pure Mathematics for Theoretical Computer Science, vol. , no. , pp. 08-15, 2024. DOI: https://doi.org/10.54216/PMTCS.040101