New Trends in Intuitive Geometry
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in thi...
Other Authors: | , , , |
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2018, 2018
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Edition: | 1st ed. 2018 |
Series: | Bolyai Society Mathematical Studies
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- A. Barvinok: The tensorization trick in geometry
- K. Bezdek and M. A. Khan: Contact numbers for sphere packings
- P. M. Blagojević, A. S. D. Blagojević, and G. M. Ziegler: The topological Tverberg theorem plus constraints
- B. Csikós: On the volume of Boolean expressions of balls – A review of the Kneser-Poulsen conjecture
- F. de Zeeuw: A survey of Elekes-Rónyai-type problems
- G. Domokos and G. W. Gibbons: The geometry of abrasion
- F. M. de Oliveira Filho and F. Vallentin: Computing upper bounds for the packing density of congruent copies of a convex body
- P. Hajnal and E. Szemerédi: Two geometrical applications of the semi-random method
- A. F. Holmsen: Erdős-Szekeres theorems for families of convex sets
- R. Kusner, W. Kusner, J. C. Lagarias, and S. Shlosman: Configuration spaces of equal spheres touching a given sphere: the twelve spheres problem
- E. León and G. M. Ziegler: Spaces of convex n-partitions
- P. McMullen: New regular compounds of 4-polytopes
- O.R. Musin, Five Essays on the Geometry of László Fejes Tóth
- M. Naszódi: Flavors of translative coverings
- M. Sharir and Noam Solomon: Incidences between points and lines in three dimensions
- J. Solymosi and F. de Zeeuw: Incidence bounds for complex algebraic curves on Cartesian products
- K. J. Swanepoel: Combinatorial distance geometry in normed spaces.