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» The vertex-cover polynomial of a graph
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WG
2007
Springer
14 years 5 months ago
Complexity and Approximation Results for the Connected Vertex Cover Problem
We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
Bruno Escoffier, Laurent Gourvès, Jé...
COCOA
2008
Springer
14 years 20 days ago
Polynomial Time Approximation Scheme for Connected Vertex Cover in Unit Disk Graph
Connected Vertex Cover Problem (CVC) is an NP-hard problem. The currently best known approximation algorithm for CVC has performance ration 2. This paper gives the first Polynomial...
Zhao Zhang, Xiaofeng Gao, Weili Wu
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
14 years 2 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
CEC
2008
IEEE
14 years 5 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
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
14 years 3 months ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld