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COCO
2005
Springer
131views Algorithms» more  COCO 2005»
15 years 8 months 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
15 years 9 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
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
16 years 12 days ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
TALG
2010
109views more  TALG 2010»
15 years 1 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
APPROX
2004
Springer
122views Algorithms» more  APPROX 2004»
15 years 8 months ago
Maximum Coverage Problem with Group Budget Constraints and Applications
We study a variant of the maximum coverage problem which we label the maximum coverage problem with group budget constraints (MCG). We are given a collection of sets S = {S1, S2, ....
Chandra Chekuri, Amit Kumar