TY - JOUR T1 - Topological Hoarded Graphs AU - Polat, Kadirhan PY - 2023 DA - March Y2 - 2023 DO - 10.17798/bitlisfen.1184983 JF - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi PB - Bitlis Eren University WT - DergiPark SN - 2147-3129 SP - 33 EP - 37 VL - 12 IS - 1 LA - en AB - 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. KW - Hoarded graph KW - topological hoarded graph KW - topology CR - B. Bollobas, Modern Graph Theory. New York, NY: Springer, 2014. CR - G. Chartrand, A First Course in Graph Theory. Mineola, NY: Dover Publications, 2012. CR - J. L. Gross, J. Yellen, and P. Zhang, Eds., Handbook of graph theory, second edition, 2nd ed. London, England: CRC Press, 2018. CR - 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. CR - 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. CR - K. R. Saoub, Graph theory: An introduction to proofs, algorithms, and applications. London, England: CRC Press, 2021. CR - R. J. Trudeau, Introduction to graph theory. Pmapublishing.com, 2017. UR - https://doi.org/10.17798/bitlisfen.1184983 L1 - https://dergipark.org.tr/en/download/article-file/2691617 ER -