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CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 7 months ago
Approximation Algorithms for Dominating Set in Disk Graphs
We consider the problem of finding a lowest cost dominating set in a given disk graph containing n disks. The problem has been extensively studied on subclasses of disk graphs, ye...
Matt Gibson, Imran A. Pirwani
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 11 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
13 years 7 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
CCCG
2010
13 years 9 months ago
3d local algorithm for dominating sets of unit disk graphs
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
Alaa Eddien Abdallah, Thomas Fevens, Jaroslav Opat...
COLOGNETWENTE
2007
13 years 9 months ago
Approximating minimum independent dominating sets in wireless networks
We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth. Graphs of bounded gr...
Johann Hurink, Tim Nieberg