Research Article
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Year 2023, Volume: 12 Issue: 1, 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, Volume: 12 Issue: 1, 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

Early Pub Date March 23, 2023
Publication Date March 22, 2023
Submission Date October 6, 2022
Acceptance Date March 15, 2023
Published in Issue Year 2023 Volume: 12 Issue: 1

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.

Bitlis Eren University
Journal of Science Editor
Bitlis Eren University Graduate Institute
Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS