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» Improvement on vertex cover for low-degree graphs
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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
14 years 1 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre
TCC
2007
Springer
100views Cryptology» more  TCC 2007»
14 years 1 months ago
Private Approximation of Clustering and Vertex Cover
Private approximation of search problems deals with finding approximate solutions to search problems while disclosing as little information as possible. The focus of this work is ...
Amos Beimel, Renen Hallak, Kobbi Nissim
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
13 years 12 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
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 years 8 months ago
An improved constant-time approximation algorithm for maximum~matchings
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Yuichi Yoshida, Masaki Yamamoto, Hiro Ito