Discrete Geometry and Symmetry

Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays

  • Marston D. E. Conder
  • Antoine Deza
  • Asia Ivić Weiss
Conference proceedings GSC 2015

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 234)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Károly Bezdek, Muhammad A. Khan
    Pages 1-30
  3. Károly Böröczky, Károly J. Böröczky, Alexey Glazyrin, Ágnes Kovács
    Pages 31-60
  4. Marston D. E. Conder, István Estélyi, Tomaž Pisanski
    Pages 61-70
  5. Antoine Deza, George Manoussakis, Shmuel Onn
    Pages 87-107
  6. Nikolay Dolbilin
    Pages 109-125
  7. Ian Douglas, Isabel Hubard, Daniel Pellicer, Steve Wilson
    Pages 127-145
  8. Maria Elisa Fernandes, Dimitri Leemans, Asia Ivić Weiss
    Pages 147-170
  9. D. Frettlöh
    Pages 171-180
  10. Gábor Gévay
    Pages 181-199
  11. Norman W. Johnson
    Pages 225-234
  12. Undine Leopold, Horst Martini
    Pages 235-255
  13. Zoran Lučić, Emil Molnár, Nebojša Vasiljević
    Pages 257-278
  14. Peter McMullen
    Pages 279-292
  15. Márton Naszódi, János Pach, Konrad Swanepoel
    Pages 293-296

About these proceedings


This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields.

While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance. The last decades have seen a revival of interest in discrete geometric structures and their symmetry.  The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory and geometry, combinatorial group theory, and hyperbolic geometry and topology. This book contains papers on new developments in these areas, including convex and abstract polytopes and their recent generalizations, tiling and packing, zonotopes, isoperimetric inequalities, and on the geometric and combinatorial aspects of linear optimization.
The book is a valuable resource for researchers, both junior and senior, in the field of discrete geometry, combinatorics, or discrete optimization. Graduate students find state-of-the-art surveys and an open problem collection. 


discrete geometry symmetry groups polytopes combinatorics linear optimization

Editors and affiliations

  • Marston D. E. Conder
    • 1
  • Antoine Deza
    • 2
  • Asia Ivić Weiss
    • 3
  1. 1.Department of MathematicsUniversity of AucklandAucklandNew Zealand
  2. 2.Department of Computing and SoftwareMcMaster UniversityHamiltonCanada
  3. 3.Department of Mathematics and StatisticsYork UniversityTorontoCanada

Bibliographic information