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On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations

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  • Mohammed Alsharafi
  • Haifa Ahmed
  • Saad Tobaili

Abstract

This study examines the hub number of ring graphs and investigates their behavior under operations such as union, intersection, and join. Different findings for this parameter are found for a variety of types of ring graphs, such as commutative ring graphs, path ring graphs, complete ring graphs, cycle ring graphs, and star ring graphs, for which the hub number hRG is calculated. Bounds for hRG are also computed, as are the connections between hRG and other known ring graph characteristics. Moreover, we studied the hub number of some restricted hyper-totient graphs. The results of this study advance our knowledge of the features and structural attributes of ring graphs, which could benefit many domains involving network analysis and complex systems. Understanding the hub structures and ring graph operations can lead to more efficient algorithms and deeper insights into network design, data clustering, and communication systems.

Suggested Citation

  • Mohammed Alsharafi & Haifa Ahmed & Saad Tobaili, 2025. "On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2025, pages 1-11, March.
    • Handle: RePEc:hin:jijmms:5522259
    DOI: 10.1155/ijmm/5522259
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