Twentieth Anniversary Volume:

Discrete & Computational Geometry

  • Richard Pollack
  • János Pach
  • Jacob E. Goodman

Table of contents

  1. Front Matter
    Pages 1-16
  2. Eyal Ackerman, Kevin Buchin, Christian Knauer, Rom Pinchasi, Günter Rote
    Pages 1-14
  3. Pankaj K. Agarwal, Rolf Klein, Christian Knauer, Stefan Langerman, Pat Morin, Micha Sharir et al.
    Pages 1-21
  4. Pankaj K. Agarwal, Sariel Har-Peled, Hai Yu
    Pages 1-21
  5. Iskander Aliev
    Pages 1-8
  6. Imre Bárány, Alfredo Hubard, Jesús Jerónimo
    Pages 1-9
  7. Alexander Barvinok, Isabella Novik
    Pages 1-24
  8. Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
    Pages 1-15
  9. Jean-Daniel Boissonnat, David Cohen-Steiner, Gert Vegter
    Pages 1-20
  10. Ciprian Borcea, Xavier Goaoc, Sylvain Petitjean
    Pages 1-16
  11. Benjamin Braun
    Pages 1-3
  12. Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Sylvain Petitjean
    Pages 1-19
  13. Mirela Damian, Robin Flatland, Joseph O’Rourke
    Pages 1-26
  14. Paolo Gronchi, Marco Longinetti
    Pages 1-25
  15. John Hershberger
    Pages 1-21
  16. Leonid Khachiyan, Endre Boros, Konrad Borys, Vladimir Gurvich, Khaled Elbassioni
    Pages 1-17

About this book

Introduction

This commemorative book contains the 28 major articles that appeared in the 2008 Twentieth Anniversary Issue of the journal Discrete & Computational Geometry, and presents a comprehensive picture of the current state of the field. Formed during the past few decades by the merger of the classical discipline of combinatorial and discrete geometry with the new field of computational geometry that sprang up in the 1970s, discrete and computational geometry now claims the allegiance of a sizeable number of mathematicians and computer scientists all over the world, whose most important work has been appearing since 1986 in the pages of the journal.

The articles in this volume, a number of which solve long-outstanding problems in the field, were chosen by the editors of DCG for the importance of their results, for the breadth of their scope, and to show the intimate connections that have arisen between discrete and computational geometry and other areas of both computer science and mathematics. Apart from the articles, the editors present an expanded preface, along with a set of photographs of groups and individuals who have played a major role in the history of the field during the past twenty years.

Contributors include:

E. Ackerman

P.K. Agarwal

I. Aliev

I. Bárány

A. Barvinok

S. Basu

L.J. Billera

J.-D. Boissonnat

C. Borcea

E. Boros

K. Borys

B. Braun

K. Buchin

O. Cheong

D. Cohen-Steiner

M. Damian

K. Elbassioni

R. Flatland

T. Gerken

J.E. Goodman

X. Goaoc

P. Gronchi

V. Gurvich

S. Har-Peled

J. Hershberger

A. Holmsen

S.K. Hsiao

A. Hubard

J. Jerónimo

L. Khachiyan

R. Klein

C. Knauer

S. Langerman

J.-Y. Lee

M. Longinetti

E. Miller

P. Morin

U. Nagel

E. Nevo

P. Niyogi

I. Novik

J. O’Rourke

J. Pach

I. Pak

M.J. Pelsmajer

S. Petitjean

F. Pfender

R. Pinchasi

R. Pollack

J.S. Provan

K. Przeslawski

R.M. Richardson

G. Rote

M. Schaefer

Y. Schreiber

M. Sharir

J.R. Shewchuk

S. Smale

B. Solomyak

M. Soss

D. Štefankovic

G. Vegter

V.H. Vu

S. Weinberger

L. Wu

D. Yost

H. Yu

T. Zell

Keywords

Combinatorics combinatorial geometry complex geometry computational geometry computer graphics general convexity polyhedra polytopes real algebraic geometry real analytic geometry real geometry

Editors and affiliations

  • Richard Pollack
  • János Pach
  • Jacob E. Goodman
  1. 1.Courant Inst. Mathematical SciencesNew York UniversityNew YorkU.S.A.
  2. 2.Courant Inst. Mathematical SciencesNew York UniversityNew YorkU.S.A.
  3. 3.City College of New YorkCity University of New YorkNew YorkU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-87363-3
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-87362-6
  • Online ISBN 978-0-387-87363-3
  • About this book