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...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg , 2018.
Vydání:1st ed. 2018.
Edice:Bolyai Society Mathematical Studies, 27
Témata:
Convex geometry .
Discrete geometry.
Combinatorics.
Polytopes.
Topology.
ISBN:9783662574133
ISSN:1217-4696 ;
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Obsah:
  • 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. .

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