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IPL
2008
95views more  IPL 2008»
13 years 7 months ago
Approximating maximum satisfiable subsystems of linear equations of bounded width
We consider the problem known as MAX-SATISFY: given a system of m linear equations over the rationals, find a maximum set of equations that can be satisfied. Let r be the width of...
Zeev Nutov, Daniel Reichman
TCBB
2010
166views more  TCBB 2010»
13 years 6 months ago
Approximate Maximum Parsimony and Ancestral Maximum Likelihood
— We explore the maximum parsimony (MP) and ancestral maximum likelihood (AML) criteria in phylogenetic tree reconstruction. Both problems are NP hard, so we seek approximate sol...
Noga Alon, Benny Chor, Fabio Pardi, Anat Rapoport
FOCS
1995
IEEE
13 years 11 months ago
Free Bits, PCPs and Non-Approximability - Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs PCPs the approximability of NP-optimization problems. The emphasis is on prov...
Mihir Bellare, Oded Goldreich, Madhu Sudan
SIAMCOMP
2011
12 years 10 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»
13 years 2 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...