Overview
- Presents a snapshot of a rapidly evolving area on the boundary of discrete geometry and optimization
- Includes a wide range of open problems connecting discrete geometry to combinatorics and optimization
- Exhibits the recent advances in various areas of discrete geometry
- Fosters new interactions between different research groups
- Offers state-of-the-art surveys
- Commemorates the 60th birthdays of Károly Bezdek and Egon Schulte
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 234)
Included in the following conference series:
Conference proceedings info: GSC 2015.
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Table of contents (18 papers)
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Front Matter
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Discrete Geometry and Symmetry
Keywords
About this book
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.
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Editors and Affiliations
About the editors
Bibliographic Information
Book Title: Discrete Geometry and Symmetry
Book Subtitle: Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays
Editors: Marston D. E. Conder, Antoine Deza, Asia Ivić Weiss
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-78434-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-78433-5Published: 12 June 2018
Softcover ISBN: 978-3-030-08697-8Published: 01 February 2019
eBook ISBN: 978-3-319-78434-2Published: 11 June 2018
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XXIII, 333
Number of Illustrations: 29 b/w illustrations, 21 illustrations in colour
Topics: Convex and Discrete Geometry, Combinatorics, Polytopes, Optimization