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» Approximation Algorithms for Connected Dominating Sets
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AAIM
2006
Springer
222views Algorithms» more  AAIM 2006»
15 years 5 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
JAL
2002
71views more  JAL 2002»
14 years 11 months ago
A primal-dual schema based approximation algorithm for the element connectivity problem
The element connectivity problem falls in the category of survivable network design problems { it is intermediate to the versions that ask for edge-disjoint and vertex-disjoint pa...
Kamal Jain, Ion I. Mandoiu, Vijay V. Vazirani, Dav...
JCO
2007
128views more  JCO 2007»
14 years 11 months ago
Approximation algorithms and hardness results for labeled connectivity problems
Let G = (V, E) be a connected multigraph, whose edges are associated with labels specified by an integer-valued function L : E → N. In addition, each label ℓ ∈ N has a non-...
Refael Hassin, Jérôme Monnot, Danny S...
FOCS
2009
IEEE
15 years 6 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
STOC
2010
ACM
269views Algorithms» more  STOC 2010»
15 years 3 months ago
Approximations for the Isoperimetric and Spectral Profile of Graphs and Related Parameters
The spectral profile of a graph is a natural generalization of the classical notion of its Rayleigh quotient. Roughly speaking, given a graph G, for each 0 < < 1, the spect...
Prasad Raghavendra, David Steurer and Prasad Tetal...