Domination Numbers of Complete Grid Graph Pk × Pn

This paper concerns the domination numbers (Pk × Pn) for the complete Pk × Pn grid graph for k = 7; 8; 9 and for all n ≥ 1. These numbers were previously established [2] , [4] : Here we present dominating sets by other method.

Bibliographic Details
Author: Saoud, Mahmoud
Format: article
Status:Published version
Publication Date:2012
Country:Brasil
Institution:Universidade Estadual de Maringá (UEM)
Repository:Acta scientiarum. Technology (Online)
Language:Portuguese
English
OAI Identifier:oai:periodicos.uem.br/ojs:article/11636
Online Access:http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/11636
Access Level:Open access
Keyword:dominating Set
domination number
transformation of a dominating set
cartesian product of two paths.
05C69
cartesian product of two paths
Description
Summary:This paper concerns the domination numbers (Pk × Pn) for the complete Pk × Pn grid graph for k = 7; 8; 9 and for all n ≥ 1. These numbers were previously established [2] , [4] : Here we present dominating sets by other method.