Rigidity and Symmetry
Springer-Verlag New York Inc.
978-1-4939-4970-0 (ISBN)
Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will 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 post docs, structural engineers and chemists.
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).
Erscheinungsdatum | 10.06.2017 |
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Reihe/Serie | Fields Institute Communications ; 70 |
Zusatzinfo | 28 Illustrations, color; 36 Illustrations, black and white; VIII, 374 p. 64 illus., 28 illus. in color. |
Verlagsort | New York |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Mathematik / Informatik ► Mathematik ► Graphentheorie | |
Schlagworte | abstract polytope theory • Cauchy identity • infinite groups • Peterson algebras • Pieri rules • rigidity theory |
ISBN-10 | 1-4939-4970-5 / 1493949705 |
ISBN-13 | 978-1-4939-4970-0 / 9781493949700 |
Zustand | Neuware |
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