Open Journal of Discrete Applied Mathematics
Vol. 7 (2024), Issue 1, pp. 11 – 20
ISSN: 2617-9687 (Online) 2617-9679 (Print)
DOI: 10.30538/psrp-odam2023.0095
Edge Hub Number of Fuzzy Graphs
Saad Tobaili\(^{1}\), Haifa Ahmed\(^{2}\) and Mohammed Alsharafi\(^{3,*}\)
\(^{1}\)Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla, Yemen.; saadaltobaili@yahoo.com
\(^{2}\)Department of Mathematics, Faculty of Education, Art and Science, Aden University, Aden, Yemen.; haifaahmed010@gmail.com
\(^{3}\)Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, 34220 Esenler, Istanbul, Turkey.; alsharafi205010@gmail.com
Copyright © 2024 Saad Tobaili, Haifa Ahmed and Mohammed Alsharafi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: October 1, 2023 – Accepted: January 10, 2024 – Published: February 27, 2024
Abstract
Shadi I.K et al. [1] introduced the edge hub number of graphs. This work extends the concept to fuzzy graphs. We derive several properties of edge hub number of fuzzy graphs and establish some relations that connect the new parameter with other fuzzy graph parameters. Also, some bounds of such a parameter are investigated. Moreover, we provide empirical evidence examples to elucidate the behavior and implications of edge hub number of fuzzy graph parameters.
Keywords:
Fuzzy graph, Hub number, Edge hub number