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Solving Quadratic (0,1)-Problems by Semidefinite Programs and Cutting Planes (1995)  (Make Corrections)  
Christoph Helmberg, Franz Rendl



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Abstract: We present computational experiments for solving quadratic (0; 1) problems. Our approach combines a semidefinite relaxation with a cutting plane technique, and is applied in a Branch and Bound setting. Our experiments indicate that this type of approach is very robust, and allows to solve many moderately sized problems, having say, less than 100 binary variables, in a routine manner. Key words: quadratic (0,1)-programming, max-cut problem, semidefinite program, Branch and Bound. 1 Quadratic... (Update)

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BibTeX entry:   (Update)

@misc{ helmberg-solving,
  author = "Christoph Helmberg and Franz Rendl",
  title = "Solving Quadratic (0,1)-Problems by Semidefinite Programs and Cutting Planes",
  url = "citeseer.ist.psu.edu/helmberg95solving.html" }
Citations (may not include all citations):
264   Combinatorial Algorithms for Integrated Circuit Layout (context) - LENGAUER - 1990
173   An interior point method for semidefinite programming and ma.. - HELMBERG - 1994
173   An interior point method for Semidefinite Programming - HELMBERG, RENDL et al.
106   Approximation algorithms for Max-Cut and Max 2SAT (context) - GOEMANS, WILLIAMSON - 1994
46   Laplacian eigenvalues and the maximum cut problem (context) - DELORME, POLJAK - 1993
35   Nonpolyhedral Relaxations of Graph Bisection Problems - POLJAK, RENDL - 1995
23   Solving the Max-Cut Problem using Eigenvalues (context) - POLJAK, RENDL - 1995
21   The max-cut problem in graphs not contractible to K (context) - BARAHONA - 1983
18   Computational aspects of a branch and bound algorithm for qu.. (context) - PARDALOS, RODGERS - 1990
17   Combining Semidefinite and Polyhedral Relaxations for Intege.. - HELMBERG, POLJAK et al. - 1995
15   The Max-Cut Problem - A Survey (context) - POLJAK, TUZA - 1994
12   The metric polytope (context) - LAURENT, POLJAK - 1992
11   a positive Semidefinite relaxation of the Cut Polytope - LAURENT, POLJAK - 1995
11   The cut polytope and the Boolean quadric polytope (context) - De SIMONE - 1989
10   complementation and persistency in quadratic 0-1 optimizatio.. (context) - HAMMER, HANSEN et al. - 1984
10   The hypermetric cone is polyhedral (context) - DEZA, GRISHUCHIN et al. - 1993
8   personal communication (context) - SCHRIJVER - 1992
8   Eigenvalues and the max-cut problem (context) - MOHAR, POLJAK - 1990
8   Experiments in quadratic 0-1 programming (context) - BARAHONA, UNGER et al. - 1989
8   Parallel Branch and Bound algorithms for quadratic zero-one .. (context) - PARDALOS, RODGERS - 1990
5   The indefinite Zero-One quadratic problem (context) - CARTER - 1984
5   A cutting plane algorithm for the max-cut problem (context) - De SIMONE, RINALDI - 1992
5   Exact ground states of ising spin glasses: new experimental .. - De SIMONE, DIEHL et al. - 1994
5   Node and Edge Relaxations of the Max-Cut Problem - POLJAK, RENDL - 1994
4   the expected relative error of the polyhedral approximation .. (context) - POLJAK, TUZA - 1994
4   Chv'atal cuts and odd cycle inequalities in quadratic 0-1 op.. (context) - BOROS, CRAMA et al. - 1992
4   Polyhedral and eigenvalue approximations of the max-cut prob.. (context) - POLJAK - 1992
3   Ground-State magnetization of Ising spin glasses (context) - BARAHONA - 1994
2   Quadratic 0-1 Programming using the Roof dual with computati.. (context) - WILLIAMS - 1985
2   An algorithm for quadratic zero-one programs (context) - KALANTARI, BAGCHI - 1990
2   Max mean cuts and max cuts (context) - BARAHONA, TITAN - 1991
2   The max-cut problem and quadratic 0-1 optimization; polyhedr.. (context) - BOROS, HAMMER - 1991
2   Cut Polyhedra and Metrics (context) - DEZA, LAURENT
1   An efficient Branch and Bound Algorithm to solve Quadratic I.. (context) - ORNER - 1983
1   Complexity of a max cut approximation (context) - DELORME, POLJAK - 1993
1   The DDT method for quadratic 0-1 minimization (context) - BOROS, HAMMER et al. - 1989
1   boolean quadric polytopes and nonnegative pseudo-boolean fun.. (context) - BOROS, HAMMER - 1993
1   to appear in Computational and Applied Mathematics (context) - DEZA, LAURENT et al. - 1992
1   An interior point algorithm for solving max-cut problems (context) - BURKARD - 1994

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