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» On the Hardness of Approximating Multicut and Sparsest-Cut
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COCO
2005
Springer
131views Algorithms» more  COCO 2005»
13 years 10 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...
SIAMCOMP
2011
12 years 7 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
CORR
2011
Springer
167views Education» more  CORR 2011»
12 years 11 months ago
On Quadratic Programming with a Ratio Objective
Quadratic Programming (QP) is the well-studied problem of maximizing over {−1, 1} values the quadratic form i=j aijxixj. QP captures many known combinatorial optimization proble...
Aditya Bhaskara, Moses Charikar, Rajsekar Manokara...
ESA
2009
Springer
129views Algorithms» more  ESA 2009»
13 years 11 months ago
Constant Ratio Fixed-Parameter Approximation of the Edge Multicut Problem
Abstract. The input of the Edge Multicut problem consists of an undirected graph G and pairs of terminals {s1, t1}, . . . , {sm, tm}; the task is to remove a minimum set of edges s...
Dániel Marx, Igor Razgon
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 5 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos