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» A Better Approximation Ratio for the Vertex Cover Problem
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IICAI
2003
13 years 8 months ago
A Hybrid Genetic Algorithm for Minimum Vertex Cover Problem
Minimum vertex cover problem (MVCP) is an NP-hard problem and it has numerous real life applications. This paper presents hybrid genetic algorithm (HGA) to solve MVCP efficiently. ...
Ketan Kotecha, Nilesh Gambhava
ADHOCNOW
2008
Springer
14 years 1 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
ESA
2003
Springer
124views Algorithms» more  ESA 2003»
14 years 20 days ago
The Minimum Generalized Vertex Cover Problem
Let G = (V, E) be an undirected graph, with three numbers d0(e) ≥ d1(e) ≥ d2(e) ≥ 0 for each edge e ∈ E. A solution is a subset U ⊆ V and di(e) represents the cost contr...
Refael Hassin, Asaf Levin
CEC
2008
IEEE
14 years 1 months ago
Analysis of population-based evolutionary algorithms for the vertex cover problem
— Recently it has been proved that the (1+1)-EA produces poor worst-case approximations for the vertex cover problem. In this paper the result is extended to the (1+λ)-EA by pro...
Pietro Simone Oliveto, Jun He, Xin Yao
ANTSW
2006
Springer
13 years 11 months ago
Kernelization as Heuristic Structure for the Vertex Cover Problem
Abstract. For solving combinatorial optimisation problems, exact methods accurately exploit the structure of the problem but are tractable only up to a certain size; approximation ...
Stephen Gilmour, Mark Dras