Semidefinite programming in combinatorial optimization

作者: Michel X. Goemans

DOI: 10.1007/BF02614315

关键词:

摘要: … We discuss the use of semidefinite programming for combinatorial optimization problems. The main topics covered include (i) the Lovfisz theta function and its applications to stable sets…

参考文章(60)
László Lovász, Alexander Schrijver, Matrix cones, projection representations, and stable set polyhedra Polyhedral Combinatorics. pp. 1- 18 ,(1990)
Ferenc Juhász, The asymptotic behaviour of Lovász' theta function for random graphs Combinatorica. ,vol. 2, pp. 153- 155 ,(1982) , 10.1007/BF02579314
Svatopluk Poljak, Zsolt Tuza, Maximum cuts and largest bipartite subgraphs. Combinatorial Optimization. pp. 181- 244 ,(1993)
Robert J. McEliece, The Bounds of Delsarte and Lovász, and Their Applications to Coding Theory Springer Berlin Heidelberg. pp. 107- 178 ,(1979) , 10.1007/978-3-662-39641-4_2
Roger A. Horn, Charles R. Johnson, Matrix Analysis Cambridge University Press. ,(1985) , 10.1017/CBO9780511810817
Bojan Mohar, Svatopluk Poljak, Eigenvalues in Combinatorial Optimization Institute for Mathematics and Its Applications. ,vol. 50, pp. 107- 151 ,(1993) , 10.1007/978-1-4613-8354-3_5
Donald E. Knuth, The Sandwich Theorem Electronic Journal of Combinatorics. ,vol. 1, pp. 1- ,(1994) , 10.37236/1193
A. Frieze, M. Jerrum, Improved approximation algorithms for MAX k-CUT and MAX BISECTION Algorithmica. ,vol. 18, pp. 67- 81 ,(1997) , 10.1007/BF02523688
Florence Jessie MacWilliams, Neil James Alexander Sloane, The Theory of Error-Correcting Codes ,(1977)
Noga Alon, Eigen values and expanders Combinatorica. ,vol. 6, pp. 83- 96 ,(1986) , 10.1007/BF02579166