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CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 10 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
CORR
2010
Springer
156views Education» more  CORR 2010»
13 years 10 months ago
A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set
A dominating set D of a graph G = (V, E) is a subset of vertices such that every vertex in V \ D has at least one neighbour in D. Moreover if D is an independent set, i.e. no verti...
Serge Gaspers, Mathieu Liedloff
CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
14 years 1 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
ESA
2006
Springer
105views Algorithms» more  ESA 2006»
14 years 1 months ago
Dynamic Programming and Fast Matrix Multiplication
Abstract. We give a novel general approach for solving NP-hard optimization problems that combines dynamic programming and fast matrix multiplication. The technique is based on red...
Frederic Dorn
IPL
2006
69views more  IPL 2006»
13 years 9 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...