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Abstract: Lov asz and Schrijver [10] showed how to formulate increasingly tight approximations of the stable set polytope of a graph by solving semide nite programs (SDP's) of increasing size (lift-andproject method). In this paper we present a similar idea. We show how the stability number can be computed as the solution of a conic linear program (LP) over the cone of copositive matrices. Subsequently, we show how to approximate the copositive cone ever more closely via linear or semide nite programs of ... (Update)
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BibTeX entry: (Update)
E. de Klerk, D.V. Pasechnik. Approximation of the stability number of a graph via copositive programming. Manuscript, Faculty of Information Technology and Systems, Delft University of Technology, The Netherlands, 2000. (Accepted for publication in SIAM Journal of Optimization.) http://citeseer.ist.psu.edu/deklerk01approximation.html More
@article{ klerk00approximation,
author = "E. de Klerk and D. Pasechnik",
title = "Approximation of the stability number of a graph via copositive programming",
journal="SIAM Journal on Optimization",
volume=12, pages="875--892",
year = "2002",
url = "citeseer.ist.psu.edu/deklerk01approximation.html" }
Citations (may not include all citations):
415
Improved approximation algorithms for maximum cut and satisa..
- Goemans, Williamson - 1995
134
Geometric Algorithms and Combinatorial Optimization (context) - Gr, Lov et al. - 1988
104
Approximating maximum independent sets by excluding subgraph..
- Boppana, Halld - 1992
72
Cones of matrices and set{functions and 0-1 optimization (context) - Lov, Schrijver - 1991
56
the Shannon capacity of a graph (context) - Lov, On - 1979
15
A strengthened sdp relaxation via a second lifting for the m..
- Anjos, Wolkowicz - 1999
9
When does the positive semideniteness constraint help in lif.. (context) - Goemans, Tun - 2000
8
Some NP-complete problems in quadratic and linear programmin.. (context) - Murty, Kabadi - 1987
5
On copositive programming and standard quadratic optimizatio..
- Bomze, ur et al. - 2000
3
Structured Semidenite Programs and Semi-algebraic Geometry M.. (context) - Parillo - 2000
3
Clique is hard to approximate within jV 1 j (context) - Hastad - 1999
3
olya's Theorem with applications to polynomials positive on .. (context) - Powers, Reznick et al. - 2000
3
Maxima for graphs and a new proof of a theorem of Turan (context) - Motzkin, Straus - 1965
3
A comparison of the Delsarte and Lovasz bounds (context) - Schrijver - 1979
2
Copositive relaxation for general quadratic programming (context) - Quist, de Klerk et al. - 1998
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