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JCO
2010
182views more  JCO 2010»
13 years 3 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
SIAMCOMP
1998
137views more  SIAMCOMP 1998»
13 years 5 months ago
Primal-Dual RNC Approximation Algorithms for Set Cover and Covering Integer Programs
We build on the classical greedy sequential set cover algorithm, in the spirit of the primal-dual schema, to obtain simple parallel approximation algorithms for the set cover probl...
Sridhar Rajagopalan, Vijay V. Vazirani
BIRTHDAY
2009
Springer
14 years 4 days ago
Covering a Tree by a Forest
Consider a tree T and a forest F. The paper discusses the following new problems: The Forest vertex-cover problem (FVC): cover the vertices of T by a minimum number of copies of tr...
Fanica Gavril, Alon Itai
SPAA
2010
ACM
13 years 10 months ago
Fast distributed approximation algorithms for vertex cover and set cover in anonymous networks
We present a distributed algorithm that finds a maximal edge packing in O(∆ + log∗ W) synchronous communication rounds in a weighted graph, independent of the number of nodes...
Matti Åstrand, Jukka Suomela
AAIM
2006
Springer
222views Algorithms» more  AAIM 2006»
13 years 11 months ago
Connected Set Cover Problem and Its Applications
Abstract. We study an extension of the set cover problem, the connected set cover problem, the problem is to find a set cover of minimal size that satisfies some connectivity con...
Tianping Shuai, Xiao-Dong Hu