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COCO
2005
Springer
131views Algorithms» more  COCO 2005»
14 years 26 days ago
On the Hardness of Approximating Multicut and Sparsest-Cut
We show that the Multicut, Sparsest-Cut, and Min-2CNF≡ Deletion problems are NP-hard to approximate within every constant factor, assuming the Unique Games Conjecture of Khot [S...
Shuchi Chawla, Robert Krauthgamer, Ravi Kumar, Yuv...
FOCS
2007
IEEE
14 years 1 months ago
Lower Bounds on Streaming Algorithms for Approximating the Length of the Longest Increasing Subsequence
We show that any deterministic data-stream algorithm that makes a constant number of passes over the input and gives a constant factor approximation of the length of the longest i...
Anna Gál, Parikshit Gopalan
WAOA
2010
Springer
209views Algorithms» more  WAOA 2010»
13 years 5 months ago
Densest k-Subgraph Approximation on Intersection Graphs
We study approximation solutions for the densest k-subgraph problem (DS-k) on several classes of intersection graphs. We adopt the concept of -quasi elimination orders, introduced ...
Danny Z. Chen, Rudolf Fleischer, Jian Li
TALG
2010
109views more  TALG 2010»
13 years 5 months ago
Facility location with hierarchical facility costs
We introduce a facility location problem with submodular facility cost functions, and give an O(log n) approximation algorithm for it. Then we focus on a special case of submodula...
Zoya Svitkina, Éva Tardos
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
14 years 7 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen