journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2274 On planar domination in graphs Abbass Doha Adel Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq Al-Harere Manal N. Department of Applied Sciences, University of Technology, Baghdad, Iraq Al-Zangana Emad Bakr Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq 28 4-B 1355 1360 26 06 2025

Let G be a finite, undirected, simple graph with no isolated vertices. A new model of graph domination is introduced in this paper, and named “planar domination”.  The properties of planar domination number are determined. Also, the relation between the domination number and planer domination number is discussed. the size of graph having planar domination number is calculated. 

 Domination set Minimum domination set Planar dominating set planar domination number access open retracted no