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WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
15 years 6 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
COLOGNETWENTE
2007
15 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
PROPERTYTESTING
2010
15 years 5 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
16 years 2 months ago
Tighter Approximation Bounds for Minimum CDS in Wireless Ad Hoc Networks
Abstract. Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of approximation algorithms for constructing a small CDS in wireless...
Minming Li, Peng-Jun Wan, F. Frances Yao
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
16 years 4 days ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito