Discrete & Computational Geometry

, Volume 2, Issue 4, pp 319–326 | Cite as

Computing the volume is difficult

  • Imre Bárány
  • Zoltán Füredi


For every polynomial time algorithm which gives an upper bound\(\overline {vol}\)(K) and a lower boundvol(K) for the volume of a convex setKRd, the ratio\(\overline {vol}\)(K)/vol(K) is at least (cd/logd)d for some convex setKRd.


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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Imre Bárány
    • 1
  • Zoltán Füredi
    • 2
  1. 1.Department of Operations Research and Industrial EngineeringCornell UniversityIthacaUSA
  2. 2.RUTCORRutgers UniversityNew BrunswickUSA

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