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» Minimum independent dominating sets of random cubic graphs
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RSA
2002
66views more  RSA 2002»
13 years 5 months ago
Minimum independent dominating sets of random cubic graphs
William Duckworth, Nicholas C. Wormald
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
13 years 5 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
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
13 years 9 months 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
COLOGNETWENTE
2007
13 years 6 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
DAM
1999
119views more  DAM 1999»
13 years 5 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove