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Radio Number for Friendship Communication Networks

Author

Listed:
  • Ahmad H. Alkasasbeh

    (Oryx Universal College in Partnership with Liverpool John Moores University, Doha P.O. Box 12253, Qatar)

  • Elsayed Badr

    (Scientific Computing Department, Faculty of Computers and Artificial Intelligence, Benha University, Benha 13518, Egypt
    Data Science Department, Faculty of Computers and Information Systems, Egyptian Chinese University, Cairo 19346, Egypt)

  • Hala Attiya

    (Basic Science Department, Faculty of Technology and Education, Beni-Suef University, Beni Suef 62511, Egypt)

  • Hanan M. Shabana

    (Physics and Engineering Mathematics Department, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt)

Abstract

This paper investigates the radio labeling of friendship networks ( F 3 , k , F 4 , k , F 5 , k , and F 6 , k ). In contrast, a mathematical model is proposed for determining the upper bound of radio numbers for ( F 3 , k , F 4 , k , F 5 , k , and F 6 , k ). A computational investigation is presented to demonstrate that our results are superior to those of the past. In conclusion, the empirical study demonstrates that the proposed results surpass the previous ones in terms of the upper bound of the radio number and the run-time.

Suggested Citation

  • Ahmad H. Alkasasbeh & Elsayed Badr & Hala Attiya & Hanan M. Shabana, 2023. "Radio Number for Friendship Communication Networks," Mathematics, MDPI, vol. 11(20), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4232-:d:1256782
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    References listed on IDEAS

    as
    1. Ashraf ELrokh & Elsayed Badr & Mohammed M. Ali Al-Shamiri & Shimaa Ramadhan & M. T. Rahim, 2022. "Upper Bounds of Radio Number for Triangular Snake and Double Triangular Snake Graphs," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, May.
    2. Elsayed Badr & Shokry Nada & Mohammed M. Ali Al-Shamiri & Atef Abdel-Hay & Ashraf ELrokh & Ali Ahmad, 2022. "A Novel Mathematical Model for Radio Mean Square Labeling Problem," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, January.
    Full references (including those not matched with items on IDEAS)

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