Some Properties of Whole Edge Domination in Graphs

Authors

Ammar Alsinai, Department of Studies in Mathematics University of Mysore, Manasagangotri, Mysore, IndiaFollow
Ahmed A. Omran, Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, IraqFollow
Thaer Abdul Ameer Ibrahim, The Ministry of Education and the General Directorate of Education Wasit, IraqFollow
Hakeem A. Othman, Department of Mathematics, Al-Qunfudhah University college Umm Al-Qura University, KSAFollow

Author Country (or Countries)

India

Abstract

Throughout this paper we initiate a new definition of edge domination in graphs that is called whole edge domination. Some bounds and results for edge whole domination number are established. Moreover, calculate this number of some certain graphs. Also, the effect of deletion, addition, and contraction of an edge on the domination of this definition has been determined.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160303

Recommended Citation

Alsinai, Ammar; A. Omran, Ahmed; Abdul Ameer Ibrahim, Thaer; and A. Othman, Hakeem (2022) "Some Properties of Whole Edge Domination in Graphs," Applied Mathematics & Information Sciences: Vol. 16: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.18576/amis/160303
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss3/3