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» Approximating Semidefinite Packing Programs
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CPM
2005
Springer
116views Combinatorics» more  CPM 2005»
14 years 3 months ago
Exact and Approximation Algorithms for DNA Tag Set Design
In this paper we propose new solution methods for designing tag sets for use in universal DNA arrays. First, we give integer linear programming formulations for two previous formal...
Ion I. Mandoiu, Dragos Trinca
CORR
2002
Springer
133views Education» more  CORR 2002»
13 years 9 months ago
Sequential and Parallel Algorithms for Mixed Packing and Covering
We describe sequential and parallel algorithms that approximately solve linear programs with no negative coefficients (a.k.a. mixed packing and covering problems). For explicitly ...
Neal E. Young
STOC
2004
ACM
109views Algorithms» more  STOC 2004»
14 years 10 months ago
Approximating the cut-norm via Grothendieck's inequality
The cut-norm ||A||C of a real matrix A = (aij)iR,jS is the maximum, over all I R, J S of the quantity | iI,jJ aij|. This concept plays a major role in the design of efficient app...
Noga Alon, Assaf Naor
APPROX
2010
Springer
147views Algorithms» more  APPROX 2010»
13 years 11 months ago
Approximate Lasserre Integrality Gap for Unique Games
In this paper, we investigate whether a constant round Lasserre Semi-definite Programming (SDP) relaxation might give a good approximation to the UNIQUE GAMES problem. We show tha...
Subhash Khot, Preyas Popat, Rishi Saket
APPROX
2008
Springer
94views Algorithms» more  APPROX 2008»
13 years 11 months ago
Improved Approximation Guarantees through Higher Levels of SDP Hierarchies
For every fixed 0, we give an algorithm that, given an n-vertex 3-uniform hypergraph containing an independent set of size n, finds an independent set of size n(2 ) . This improv...
Eden Chlamtac, Gyanit Singh