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» On linear and semidefinite programming relaxations for hyper...
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IPCO
2008
221views Optimization» more  IPCO 2008»
13 years 6 months ago
A Comparative Study of Linear and Semidefinite Branch-and-Cut Methods for Solving the Minimum Graph Bisection Problem
Abstract. Semidefinite relaxations are known to deliver good approximations for combinatorial optimization problems like graph bisection. Using the spectral bundle method it is pos...
Michael Armbruster, Marzena Fügenschuh, Chris...
APPROX
2008
Springer
94views Algorithms» more  APPROX 2008»
13 years 7 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
ICALP
2009
Springer
14 years 5 months ago
SDP-Based Algorithms for Maximum Independent Set Problems on Hypergraphs
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...
Elena Losievskaja, Geir Agnarsson, Magnús M...
SIAMJO
2000
113views more  SIAMJO 2000»
13 years 5 months ago
Cones of Matrices and Successive Convex Relaxations of Nonconvex Sets
Let F be a compact subset of the n-dimensional Euclidean space Rn represented by (finitely or infinitely many) quadratic inequalities. We propose two methods, one based on successi...
Masakazu Kojima, Levent Tunçel
CVPR
2006
IEEE
14 years 7 months ago
Solving Markov Random Fields using Second Order Cone Programming Relaxations
This paper presents a generic method for solving Markov random fields (MRF) by formulating the problem of MAP estimation as 0-1 quadratic programming (QP). Though in general solvi...
M. Pawan Kumar, Philip H. S. Torr, Andrew Zisserma...