rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Discrete Geometry and Symmetry
    sub title: Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays
  name:
    name part: Conder, Marston D. E.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: Deza, Antoine.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: Weiss, Asia Ivić.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXIII, 333 p. 50 illus., 21 illus. in color. online resource.
  abstract: This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference "Geometry and Symmetry" in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded contributions in these fields. 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. .
  table of contents: The geometry of homothetic covering and illumination -- Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes -- Vertex-transitive Haar graphs that are not Cayley graphs -- On the Volume of Boolean Expressions of Large Congruent Balls -- Small Primitive Zonotopes -- Delone Sets: Local Identity and Global Symmetry -- The Twist Operator on Maniplexes -- Hexagonal Extensions of Toroidal Maps and Hypermaps -- Noncongruent Equidissections of the Plane -- Pascal's triangle of configurations -- Volume of Convex Hull of Two Bodies and Related Problems -- Integers, Modular Groups, and Hyperbolic Space -- Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces -- An Algorithm for Classification of Fundamental Polygons for a Plane Discontinuous Group -- Self-inscribed regular hyperbolic honeycombs -- Sphere-of-Influence graphs in Normed Spaces -- On Symmetries of Projections and Sections of Convex Bodies -- Regular Incidence Complexes, Polytopes, and C-Groups.
  note: edited by Marston D. E. Conder, Antoine Deza, Asia Ivić Weiss.
  subject:
    topic: Convex geometry
  subject:
    topic: Discrete geometry
  subject:
    topic: Combinatorics
  subject:
    topic: Polytopes
  subject:
    topic: Mathematical optimization
  subject:
    topic: Convex and Discrete Geometry
  subject:
    topic: Combinatorics
  subject:
    topic: Polytopes
  subject:
    topic: Optimization
  classification: QA639.5-640.7
  classification: QA640.7-640.77
  classification: 516.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Proceedings in Mathematics & Statistics, 234
  identifier: 9783319784342
  identifier: https://doi.org/10.1007/978-3-319-78434-2
  record info:
    record creation date: 180611
    record change date: 20191026102519.0
    record identifier: 978-3-319-78434-2