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Courses in Discrete and Computational Geometry.
・ISBN 978-3-032-10502-8 hard EUR 149.99
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| 著者・編者 | Pach, Janos / Toth, Geza (eds.), |
|---|---|
| シリーズ | Bolyai Society Mathematical Studies |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2026 |
| ページ数 | 321 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-19440＞ |
解説
In the Fall of 2023, the Erdos Center (Budapest) hosted a special semester on "Discrete Geometry and Convexity", which brought together some of the strongest experts in the field and many outstanding young researchers. The program featured intensive one-week mini-courses during a Summer School, followed by conferences and workshops presenting cutting-edge research. Part I of the present volume includes the notes of three lecture series on (1) approximation in discrete geometry, (2) random polytopes, and (3) a structure theory for graphs embedded in the plane. Part II starts with a classic: Matousek's until now unpublished elegant lecture notes concerning the algorithmic complexity of recognizing intersection graphs of segments and some other geometric objects. It is complemented by the first systematic and comprehensive survey of the corresponding complexity class: the existential theory of reals. This volume will be a valuable resource for graduate students, young researchers, and experts in related fields interested in discrete and computational geometry.