The Stability or Instability of Co-Even Domination in Graphs

Authors

Shurooq A. Imran, School Buildings Department, the General Directorate of Education Babylon, Babylon, IraqFollow
Ammar Alsinai, Department of Mathematics, University of Mysore, Mysore, IndiaFollow
Ahmed Omran, Department of Mathematics College of Education for Pure Science, University of Babylon, Babylon, IraqFollow
Aysha Khan, Department of Mathematics, Colleg of Arts and Science, Wadi Addawasir Prince Sattam bin Abdulaziz University, Wadi Ad Dawasir, 11991, KSAFollow
Hakeem A. Othman, Department of Mathematics, Al-Qunfudhah University College, Umm Al-Qura University, Macca, KSA\\ Department of Mathematics, Rada’a College of Education and Science, Albaydha, University, Albaydah, YemenFollow

Author Country (or Countries)

Iraq

Abstract

The effect of deleting a vertex or (deleting or adding) an edge on co-even domination number on a graph that owns this number is discussed in this paper. Firstly, after deleting a vertex, the changes in this number were studied, which is the stability (unchanging) of the number or instability (changing) whether it was an increase or decrease. Secondly, the same study was done into how this number was affected when an edge was removed or added.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160309

Recommended Citation

A. Imran, Shurooq; Alsinai, Ammar; Omran, Ahmed; Khan, Aysha; and A. Othman, Hakeem (2022) "The Stability or Instability of Co-Even Domination in Graphs," Applied Mathematics & Information Sciences: Vol. 16: Iss. 3, Article 9.
DOI: http://dx.doi.org/10.18576/amis/160309
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss3/9