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Dergiler / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2026 / Volume: 12 Issue: 1

Topological Hoarded Graphs

Kadirhan Polat(AGRI IBRAHIM CECEN UNIVERSITY)0000-0002-3460-2021
Sayfa
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Yayın Tarihi
2023-03-22
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also present some useful facts about topological hoarded graphs.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We also present some useful facts about topological hoarded graphs.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hoarded graph · topological hoarded graph · topology

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.

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Bu Makaleye Atıf Yap

Polat, K. (2023). Topological Hoarded Graphs. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Volume: 12 Issue: 1. https://doi.org/10.17798/bitlisfen.1184983

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Kaynakça (7)

  1. B. Bollobas, Modern Graph Theory. New York, NY: Springer, 2014.
  2. G. Chartrand, A First Course in Graph Theory. Mineola, NY: Dover Publications, 2012.
  3. J. L. Gross, J. Yellen, and P. Zhang, Eds., Handbook of graph theory, second edition, 2nd ed. London, England: CRC Press, 2018.
  4. 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.
  5. 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.
  6. K. R. Saoub, Graph theory: An introduction to proofs, algorithms, and applications. London, England: CRC Press, 2021.
  7. R. J. Trudeau, Introduction to graph theory. Pmapublishing.com, 2017.