Radio Number for Friendship Communication Networks

Ahmad H. Alkasasbeh (), Elsayed Badr, Hala Attiya and Hanan M. Shabana
Additional contact information
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
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

Mathematics, 2023, vol. 11, issue 20, 1-14

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.

Keywords: graph coloring; frequency assignment problem; radio labeling of a graph; integer; programing; span (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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