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ICALP
2001
Springer

Approximation Algorithms for Partial Covering Problems

8 years 10 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard covering problems. For example, in k-set cover, we wish to choose a minimum number of sets to cover at least k elements. For k-set cover, if each element occurs in at most f sets, then we derive a primal-dual f-approximation algorithm (thus implying a 2-approximation for k-vertex cover) in polynomial time. In addition to its simplicity, this algorithm has the advantage of being parallelizable. For instances where each set has cardinality at most three, we obtain an approximation of 4=3. We also present better-than-2-approximation algorithms for k-vertex cover on bounded degree graphs, and for vertex cover on expanders of bounded average degree. We obtain a polynomial-time approximation scheme for k-vertex cover on planar graphs, and for covering points in Rd by disks. Key Words and Phrases: Approximation algorit...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan
Added 29 Jul 2010
Updated 29 Jul 2010
Type Conference
Year 2001
Where ICALP
Authors Rajiv Gandhi, Samir Khuller, Aravind Srinivasan
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