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MOBIHOC
2002
ACM
15 years 9 months ago
Approximating minimum size weakly-connected dominating sets for clustering mobile ad hoc networks
We present a series of approximation algorithms for finding a small weakly-connected dominating set (WCDS) in a given graph to be used in clustering mobile ad hoc networks. The st...
Yuanzhu Peter Chen, Arthur L. Liestman
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
14 years 10 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
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
14 years 9 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»
14 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
MANSCI
2010
76views more  MANSCI 2010»
14 years 8 months ago
Navel Gazing: Academic Inbreeding and Scientific Productivity
The practice of having PhDs employed by the university that trained them, commonly called "academic inbreeding," has long been assumed to have a damaging effect on schol...
Hugo Horta, Francisco M. Veloso, Rócio Gred...