r-Domination Number for Some Special Graphs

Authors

  • Alaa A. Najim, Sara K. Abd Department of Mathematics, College of Science, University of Basrah, Basra, Iraq Author

Keywords:

r-domination number, adjacent, dominating set.

Abstract

In this study, bi- and triple effect- domination expands into r-domination. Given a finite, nontrivial, simple, undirected graph  with no isolated vertex, a subset  is -dominant if every  dominates  vertices from  with . represents the minimum ultimate dominant set. For specific graphs, dominance is determined.

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Published

2023-12-31

Issue

Vol. 41 No. 3 (2023)

Section

Mathematics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.