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: Rigidity and Symmetry
  name:
    name part: Connelly, Robert.
    role:
      role term: editor.
  name:
    name part: Ivić Weiss, Asia.
    role:
      role term: editor.
  name:
    name part: Whiteley, Walter.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 374 p. 64 illus., 28 illus. in color. online resource.
  abstract: This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures, and to explore the interaction of geometry, algebra, and combinatorics. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. 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, classical geometry, hyperbolic geometry and topology. The volume will also be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as postdocs, structural engineers, and chemists.
  table of contents: Volumes of Polytopes in Spaces of Constant Curvature (N. Abrosimov, A. Mednykh) -- Cubic Cayley Graphs and Snarks (H. Ademir, K. Kutnar, D. Marušič) -- Local, Dimensional and Universal Rigidities: A unified Gram Matrix Approach (A. Alfakih) -- Geometric Constructions for Symmetric 6-Configurations (L.W. Berman) -- On External Symmetry Groups of Regular Maps (M.D.E. Conder, Y.S. Kwon, J. Širáň) -- Variance Groups and the Structure of Mixed Polytopes (G. Cunningham) -- Mobility in Symmetry-Regular Bar-and-Joint Frameworks (P.W. Fowler, S.D. Guest, B. Schulze) -- Generic Global Rigidity in Complex and Pseudo-Euclidean Spaces (S.J. Gortler, D.P. Thurston) -- Chiral Polytopes and Suzuki simple Group (I. Hubard, D. Leemans) -- Globally Linked Pairs of Vertices in Rigid Frameworks (B. Jackson, T. Jordán, Z. Szabadka) -- Beauville Surfaces and Groups: A survey (G.A. Jones) -- Generic Rigidity with Forced symmetry and Sparse Colored Graphs (G. Malestein, L. Theran) -- Rigidity of Regular Polytopes (P. McMullen) -- Hereditary Polytopes (M. Mixer, E. Schulte, A.I. Weiss) -- One Brick at a Time: A Survey of Inductive Constructions in Rigidity Theory (A. Nixon, E. Ross) -- Polygonal Complexes and Graphs for Crystallographic Groups (D. Pellicer, E. Schulte) -- Two Notes on Maps and Surface Symmetry (T.W. Tucker) -- Buildings and s-Transitive Graphs (R.M. Weiss).
  note: edited by Robert Connelly, Asia Ivić Weiss, Walter Whiteley.
  subject:
    topic: Mathematics
  subject:
    topic: Convex geometry
  subject:
    topic: Discrete geometry
  subject:
    topic: Polytopes
  subject:
    topic: Topology
  subject:
    topic: Combinatorics
  subject:
    topic: Graph theory
  subject:
    topic: Mathematics
  subject:
    topic: Graph Theory
  subject:
    topic: Combinatorics
  subject:
    topic: Polytopes
  subject:
    topic: Convex and Discrete Geometry
  subject:
    topic: Topology
  classification: QA166-166.247
  classification: 511.5
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Fields Institute Communications, 70
  identifier: 9781493907816
  identifier: http://dx.doi.org/10.1007/978-1-4939-0781-6
  record info:
    record creation date: 140611
    record change date: 20151204142805.0
    record identifier: 978-1-4939-0781-6