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