Back to Search
Start Over
Paired-Domination in Claw-Free Graphs.
- Source :
-
Graphs & Combinatorics . Nov2013, Vol. 29 Issue 6, p1777-1794. 18p. - Publication Year :
- 2013
-
Abstract
- A paired-dominating set of a graph G is a dominating set of vertices whose induced subgraph has a perfect matching, while the paired-domination number, denoted by γ( G), is the minimum cardinality of a paired-dominating set in G. In this paper we investigate the paired-domination number in claw-free graphs. Specifically, we show that γ( G) ≤ (3 n − 1)/5 if G is a connected claw-free graph of order n with minimum degree at least three and that this bound is sharp. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09110119
- Volume :
- 29
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Graphs & Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 91661148
- Full Text :
- https://doi.org/10.1007/s00373-012-1224-5