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JCO
2010
182views more  JCO 2010»
13 years 8 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 9 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 months 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
14 years 2 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»
14 years 3 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