<b>Domination numbers of the complete grid graphs <i>P<sub>k</sub></i> x <i>P<sub>n</sub></i></b> - doi: 10.4025/actascitechnol.v34i3.11636

Autores

  • Mahmoud Saoud Ecole Normale Supérieure

DOI:

https://doi.org/10.4025/actascitechnol.v34i3.11636

Palavras-chave:

dominating Set, domination number, transformation of a dominating set, cartesian product of two paths

Resumo

This paper concerns the domination numbers γ(Pk x Pn) for the complete Pk x Pn grid graphs for k = 7, 8, 9 and for all n ≥ 1. These numbers were previously established (BONDY; MURTY, 2008; CHANG; CLARK, 1993). Here we present dominating sets by other method.

 

Downloads

Não há dados estatísticos.

Biografia do Autor

Mahmoud Saoud, Ecole Normale Supérieure

Ecole Normale Supérieure, Département de mathématiques, BP 92 Kouba, 16050, Alger, Algérie.

Publicado

2012-02-15

Como Citar

Saoud, M. (2012). <b>Domination numbers of the complete grid graphs <i>P<sub>k</sub></i> x <i>P<sub>n</sub></i></b> - doi: 10.4025/actascitechnol.v34i3.11636. Acta Scientiarum. Technology, 34(3), 321–324. https://doi.org/10.4025/actascitechnol.v34i3.11636

Edição

Seção

Matemática

 

0.8
2019CiteScore
 
 
36th percentile
Powered by  Scopus

 

 

0.8
2019CiteScore
 
 
36th percentile
Powered by  Scopus