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WAW
2004
Springer
80views Algorithms» more  WAW 2004»
14 years 1 months ago
Dominating Sets in Web Graphs
In this paper we study the size of generalised dominating sets in two graph processes which are widely used to model aspects of the world-wide web. On the one hand, we show that gr...
Colin Cooper, Ralf Klasing, Michele Zito
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
CORR
2010
Springer
156views Education» more  CORR 2010»
13 years 7 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
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
13 years 7 months ago
Minimum Connected Dominating Sets of Random Cubic Graphs
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
William Duckworth
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