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Improved approximation algorithms for MAXk-CUT and MAX BISECTION

AlgorithmicaPublished 1 May 1997
Alan Frieze, M. Jerrum
Citations412
SJR quartileQ1
SJR score0.97
SNIP1.11

Abstract

Polynomial-time approximation algorithms with nontrivial performance guarantees are presented for the problems of (a) partitioning the vertices of a weighted graph intok blocks so as to maximize the weight of crossing edges, and (b) partitioning the vertices of a weighted graph into two blocks of equal cardinality, again so as to maximize the weight of crossing edges. The approach, pioneered by Goemans and Williamson, is via a semidefinite programming relaxation.

Keywords

Computer ScienceEngineering