Comptes Rendus
no. 9-10
Combinatorics
Some notes on domination edge critical graphs

Presented by: the Editorial Board

Nader Jafari Rad1; Sayyed Heidar Jafari1
1 Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
Comptes Rendus. Mathématique, Volume 349 (2011) no. 9-10, pp. 485-488.

A graph G is domination edge critical, or just γ-edge critical, if for any edge e not in G, γ(G+e)<γ(G). We will characterize all connected γ-edge critical cactus graphs.

Un graphe G est un graphe à domination critique par addition dʼarête, ou simplement γ-critique par arête, si pour toute arête e qui nʼest pas dans G on a γ(G+e)<γ(G). Nous caractérisons les graphes cactus, connexes et γ-critiques par arête.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2011.04.005

Nader Jafari Rad 1; Sayyed Heidar Jafari 1

1 Department of Mathematics, Shahrood University of Technology, Shahrood, Iran 
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Nader Jafari Rad; Sayyed Heidar Jafari. Some notes on domination edge critical graphs. Comptes Rendus. Mathématique, Volume 349 (2011) no. 9-10, pp. 485-488. doi : 10.1016/j.crma.2011.04.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.04.005/

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[6] D.P. Sumner Critical concept in domination, Discrete Mathematics, Volume 86 (1990), pp. 33-46

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