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» The hardness and approximation algorithms for l-diversity
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FOCS
2002
IEEE
14 years 27 days ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
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
APPROX
2008
Springer
107views Algorithms» more  APPROX 2008»
13 years 10 months ago
A General Framework for Designing Approximation Schemes for Combinatorial Optimization Problems with Many Objectives Combined in
Abstract. In this paper, we propose a general framework for designing fully polynomial time approximation schemes for combinatorial optimization problems, in which more than one ob...
Shashi Mittal, Andreas S. Schulz
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...
STOC
2009
ACM
146views Algorithms» more  STOC 2009»
14 years 8 months ago
Conditional hardness for satisfiable 3-CSPs
In this paper we study a fundamental open problem in the area of probabilistic checkable proofs: What is the smallest s such that NP naPCP1,s[O(log n), 3]? In the language of har...
Ryan O'Donnell, Yi Wu