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Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (Online) 2617-9679 (Print)
  • DOI: https://www.doi.org/10.30538/psrp-odam2024.0095
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  • Research article

Edge hub number of fuzzy graphs

Author(s): Saad Tobaili1, Haifa Ahmed2, Mohammed Alsharafi3
1Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla, Yemen.
2Department of Mathematics, Faculty of Education, Art and Science, Aden University, Aden, Yemen.
3Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, 34220 Esenler, Istanbul, Turkey.
Copyright © Saad Tobaili, Haifa Ahmed, 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: 01/10/2023
  • Accepted: 10/01/2024
  • Published: 27/02/2024

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
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