On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations
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, cy...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/5522259 |
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| _version_ | 1849730686536122368 |
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| author | Mohammed Alsharafi Haifa Ahmed Saad Tobaili |
| author_facet | Mohammed Alsharafi Haifa Ahmed Saad Tobaili |
| author_sort | Mohammed Alsharafi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e4190a5000ea4bd39067ab5ae6f7491f |
| institution | DOAJ |
| issn | 1687-0425 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e4190a5000ea4bd39067ab5ae6f7491f2025-08-20T03:08:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/5522259On the Hub Number of Ring Graphs and Their Behavior Under Graph OperationsMohammed Alsharafi0Haifa Ahmed1Saad Tobaili2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThis 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.http://dx.doi.org/10.1155/ijmm/5522259 |
| spellingShingle | Mohammed Alsharafi Haifa Ahmed Saad Tobaili On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations International Journal of Mathematics and Mathematical Sciences |
| title | On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations |
| title_full | On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations |
| title_fullStr | On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations |
| title_full_unstemmed | On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations |
| title_short | On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations |
| title_sort | on the hub number of ring graphs and their behavior under graph operations |
| url | http://dx.doi.org/10.1155/ijmm/5522259 |
| work_keys_str_mv | AT mohammedalsharafi onthehubnumberofringgraphsandtheirbehaviorundergraphoperations AT haifaahmed onthehubnumberofringgraphsandtheirbehaviorundergraphoperations AT saadtobaili onthehubnumberofringgraphsandtheirbehaviorundergraphoperations |