Journal of Combinatorial Optimization

, Volume 8, Issue 3, pp 307–328

Pipage Rounding: A New Method of Constructing Algorithms with Proven Performance Guarantee

  • A.A. Ageev
  • M.I. Sviridenko

DOI: 10.1023/B:JOCO.0000038913.96607.c2

Cite this article as:
Ageev, A. & Sviridenko, M. Journal of Combinatorial Optimization (2004) 8: 307. doi:10.1023/B:JOCO.0000038913.96607.c2


The paper presents a general method of designing constant-factor approximation algorithms for some discrete optimization problems with assignment-type constraints. The core of the method is a simple deterministic procedure of rounding of linear relaxations (referred to as pipage rounding). With the help of the method we design approximation algorithms with better performance guarantees for some well-known problems including MAXIMUM COVERAGE, MAX CUT with given sizes of parts and some of their generalizations.

approximation algorithm performance guarantee linear relaxation rounding technique maximum coverage max cut 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • A.A. Ageev
    • 1
  • M.I. Sviridenko
    • 2
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.IBM T.J. Watson Research Center, P.O. Box

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