Volume Inequalities for Arrangements of Convex Bodies |
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Author:
| Bezdek, Károly Khan, Muhammad Ali |
Series title: | Discrete Mathematics and Its Applications Ser. |
ISBN: | 978-1-4987-4379-2 |
Publication Date: | Jun 2019 |
Publisher: | CRC Press LLC
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Imprint: | Chapman & Hall/CRC |
Book Format: | Ebook |
List Price: | USD $54.95 |
Book Description:
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The book is centered around two major conjectures of discrete geometry: the Hadwiger-Levi conjecture (1955) and the Kneser-Poulsen conjecture (1955). Although both conjectures have been solved only in dimension two and are open in higher dimensions, they have already influenced a great deal of research in discrete geometry and surely will continue to do so. The book gives a detailed account of all major results already achieved with complete proofs and emphasizing the role of...
More Description
The book is centered around two major conjectures of discrete geometry: the Hadwiger-Levi conjecture (1955) and the Kneser-Poulsen conjecture (1955). Although both conjectures have been solved only in dimension two and are open in higher dimensions, they have already influenced a great deal of research in discrete geometry and surely will continue to do so. The book gives a detailed account of all major results already achieved with complete proofs and emphasizing the role of volumetric methods/inequalities. The book's main purpose is to present the relevant frontline research in discrete geometry while generating wider interest in two fundamental conjectures of discrete geometry.