Polytopes: Abstract, Convex and Computational

  • T. Bisztriczky
  • P. McMullen
  • R. Schneider
  • A. Ivić Weiss

Part of the NATO ASI Series book series (ASIC, volume 440)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Abstract

  3. Convex

  4. Computational

    1. Antoine Deza, Michel Deza
      Pages 359-372
    2. Peter Gritzmann, Victor Klee
      Pages 373-466
    3. Peter Kleinschmidt
      Pages 467-492
  5. Problems

    1. Front Matter
      Pages 493-493
    2. Jonathan Schaer
      Pages 493-497
    3. Günter M. Ziegler
      Pages 499-502
  6. Back Matter
    Pages 503-507

About this book


The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject.
The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex.
With polytopes as the main topic of interest, there are articles on realizations, classifications, Eulerian posets, polyhedral subdivisions, generalized stress, the Brunn--Minkowski theory, asymptotic approximations and the computation of volumes and mixed volumes.
For researchers in applied and computational convexity, convex geometry and discrete geometry at the graduate and postgraduate levels.


Approximation Division Volume algorithms complexity discrete geometry geometry polytope

Editors and affiliations

  • T. Bisztriczky
    • 1
  • P. McMullen
    • 2
  • R. Schneider
    • 3
  • A. Ivić Weiss
    • 4
  1. 1.Department of Mathematics and StatisticsThe University of CalgaryCalgaryCanada
  2. 2.Department of MathematicsUniversity CollegeLondonUK
  3. 3.Mathematisches InstitutUniversität FreiburgFreiburgGermany
  4. 4.Department of Mathematics and StatisticsYork UniversityNorth YorkCanada

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4398-4
  • Online ISBN 978-94-011-0924-6
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site
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