Radio Number for Friendship Communication Networks

Author:

Alkasasbeh Ahmad H.1,Badr Elsayed23,Attiya Hala4ORCID,Shabana Hanan M.5

Affiliation:

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

2. Scientific Computing Department, Faculty of Computers and Artificial Intelligence, Benha University, Benha 13518, Egypt

3. Data Science Department, Faculty of Computers and Information Systems, Egyptian Chinese University, Cairo 19346, Egypt

4. Basic Science Department, Faculty of Technology and Education, Beni-Suef University, Beni Suef 62511, Egypt

5. Physics and Engineering Mathematics Department, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt

Abstract

This paper investigates the radio labeling of friendship networks (F3,k,  F4,k,  F5,k, and  F6,k). In contrast, a mathematical model is proposed for determining the upper bound of radio numbers for (F3,k,  F4,k,  F5,k, and  F6,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.

Funder

Qatar National Library

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference30 articles.

1. Frequency assignment: Theory; Applications;Hale;Proc. IEEE,1980

2. Radio labelings of graphs;Chartrand;Bull. Inst. Combin. Appl.,2001

3. A graph Radio k-coloring algorithm;Saha;Lect. Notes Comput. Sci.,2012

4. An upper bound of radio k-coloring problem and its integer linear programming model;Badr;Wirel. Netw.,2020

5. Optimal radio labelings of complete m-array trees;Li;Discret. Appl. Math.,2010

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3