Approximating edge dominating set in dense graphs
β Scribed by Richard Schmied; Claus Viehmann
- Book ID
- 113927565
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 260 KB
- Volume
- 414
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We provide the first interesting explicit lower bounds on efficient approximability for two closely related optimization problems in graphs, MINIMUM EDGE DOMINATING SET and MINIMUM MAXIMAL MATCHING. We show that it is NP-hard to approximate the solution of both problems to within any constant factor
## Abstract Let __G__ = (__V, E__) be a connected graph. A set __D__ β __V__ is a __setβdominating set__ (sdβset) if for every set __T__ β __V__ β __D__, there exists a nonempty set __S__ β __D__ such that the subgraph γ__S__ βͺ __T__γ induced by __S__ βͺ __T__ is connected. The setβdomination number