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ICALP
2005
Springer
13 years 9 months ago
A Better Approximation Ratio for the Vertex Cover Problem
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
George Karakostas
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
13 years 9 months ago
Vertex Cover Approximations on Random Graphs
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
Eyjolfur Asgeirsson, Clifford Stein
COCOON
2004
Springer
13 years 9 months ago
An Approximation Algorithm for Weighted Weak Vertex Cover Problem in Undirected Graphs
The problem of efficiently monitoring the network flow is regarded as the one to find out the minimum weighted weak vertex cover set for a given graph G = (V, E) with weight func...
Yong Zhang, Hong Zhu
COR
2006
122views more  COR 2006»
13 years 3 months ago
Experimental Analysis of Approximation Algorithms for the Vertex Cover and Set Covering Problems
Several approximation algorithms with proven performance guarantees have been proposed to find approximate solutions to classical combinatorial optimization problems. However, the...
Fernando C. Gomes, Cláudio Nogueira de Mene...
WEA
2005
Springer
117views Algorithms» more  WEA 2005»
13 years 9 months ago
Vertex Cover Approximations: Experiments and Observations
The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, e...
Eyjolfur Asgeirsson, Clifford Stein