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» Vertex Cover Approximations on Random Graphs
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STOC
2002
ACM
91views Algorithms» more  STOC 2002»
14 years 8 months ago
The importance of being biased
The Minimum Vertex Cover problem is the problem of, given a graph, finding a smallest set of vertices that touches all edges. We show that it is NP-hard to approximate this proble...
Irit Dinur, Shmuel Safra
DCOSS
2008
Springer
13 years 9 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
STOC
2010
ACM
211views Algorithms» more  STOC 2010»
14 years 5 months ago
Maintaining a Large Matching or a Small Vertex Cover
We consider the problem of maintaining a large matching or a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge ins...
Krzysztof Onak and Ronitt Rubinfeld
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
ESA
2007
Springer
115views Algorithms» more  ESA 2007»
14 years 2 months ago
Approximation of Partial Capacitated Vertex Cover
We study the partial capacitated vertex cover problem (pcvc) in which the input consists of a graph G and a covering requirement L. Each edge e in G is associated with a demand (o...
Reuven Bar-Yehuda, Guy Flysher, Julián Mest...