Research Article
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Year 2023, , 33 - 37, 22.03.2023
https://doi.org/10.17798/bitlisfen.1184983

Abstract

References

  • B. Bollobas, Modern Graph Theory. New York, NY: Springer, 2014.
  • G. Chartrand, A First Course in Graph Theory. Mineola, NY: Dover Publications, 2012.
  • J. L. Gross, J. Yellen, and P. Zhang, Eds., Handbook of graph theory, second edition, 2nd ed. London, England: CRC Press, 2018.
  • K. Polat, “On cumulative graph representations of set-families,” Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi, vol. 3, no. 2, pp. 74–78, 2022.
  • K. S. Htay, K. A. Tint, and N. O. Htike, “Application of connectivity on graph theory,” International Journal of Scientific Engineering and Technology Research, vol. 8, no. 1, pp. 525–530, 2019.
  • K. R. Saoub, Graph theory: An introduction to proofs, algorithms, and applications. London, England: CRC Press, 2021.
  • R. J. Trudeau, Introduction to graph theory. Pmapublishing.com, 2017.

Topological Hoarded Graphs

Year 2023, , 33 - 37, 22.03.2023
https://doi.org/10.17798/bitlisfen.1184983

Abstract

In this paper, we first introduced the steps to be taken to get the set-family corresponding to a hoarded graph, and an example implementation of these steps. We then give the notion of topological hoarded graph and show when a set-family induced by a topological hoarded graph is a topology on a set. We also present some useful facts about topological hoarded graphs.

References

  • B. Bollobas, Modern Graph Theory. New York, NY: Springer, 2014.
  • G. Chartrand, A First Course in Graph Theory. Mineola, NY: Dover Publications, 2012.
  • J. L. Gross, J. Yellen, and P. Zhang, Eds., Handbook of graph theory, second edition, 2nd ed. London, England: CRC Press, 2018.
  • K. Polat, “On cumulative graph representations of set-families,” Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi, vol. 3, no. 2, pp. 74–78, 2022.
  • K. S. Htay, K. A. Tint, and N. O. Htike, “Application of connectivity on graph theory,” International Journal of Scientific Engineering and Technology Research, vol. 8, no. 1, pp. 525–530, 2019.
  • K. R. Saoub, Graph theory: An introduction to proofs, algorithms, and applications. London, England: CRC Press, 2021.
  • R. J. Trudeau, Introduction to graph theory. Pmapublishing.com, 2017.
There are 7 citations in total.

Details

Primary Language English
Journal Section Araştırma Makalesi
Authors

Kadirhan Polat 0000-0002-3460-2021

Publication Date March 22, 2023
Submission Date October 6, 2022
Acceptance Date March 15, 2023
Published in Issue Year 2023

Cite

IEEE K. Polat, “Topological Hoarded Graphs”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 12, no. 1, pp. 33–37, 2023, doi: 10.17798/bitlisfen.1184983.



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