Rigidity and Symmetry

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 di...

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Bibliographic Details
Other Authors: Connelly, Robert (Editor), Ivić Weiss, Asia (Editor), Whiteley, Walter (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 2014, 2014
Edition:1st ed. 2014
Series:Fields Institute Communications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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)