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» Approximation Algorithms for Connected Dominating Sets
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148
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AAIM
2006
Springer
222views Algorithms» more  AAIM 2006»
15 years 9 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
111
Voted
JAL
2002
71views more  JAL 2002»
15 years 3 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...
138
Voted
JCO
2007
128views more  JCO 2007»
15 years 3 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...
133
Voted
FOCS
2009
IEEE
15 years 10 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 7 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...