Generic Global Rigidity in Complex and Pseudo-Euclidean Spaces

DOI10.1007/978-1-4939-0781-6_8zbMath1320.52022arXiv1212.6685OpenAlexW2120347931MaRDI QIDQ5261882

Dylan P. Thurston, Steven J. Gortler

Publication date: 8 July 2015

Published in: Rigidity and Symmetry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6685

zbMATH Keywords

hyperbolic spacecomplex spacemetric geometry\(d\)-dimensional pseudo-Euclidean spaceframeworks of graphsgeneric global rigidity

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Graph representations (geometric and intersection representations, etc.) (05C62)

Related Items (11)

Globally rigid graphs are fully reconstructible ⋮ Generically globally rigid graphs have generic universally rigid frameworks ⋮ Generalised rigid body motions in non-Euclidean planes with applications to global rigidity ⋮ Radically solvable graphs ⋮ Phase retrieval via sensor network localization ⋮ Trilateration using unlabeled path or loop lengths ⋮ Equivalent realisations of a rigid graph ⋮ Symmetric isostatic frameworks with \(\ell^1\) or \(\ell^\infty\) distance constraints ⋮ Graph reconstruction from unlabeled edge lengths ⋮ GENERIC UNLABELED GLOBAL RIGIDITY ⋮ Sufficient conditions for the global rigidity of graphs

Cites Work

• Elementary structure of real algebraic varieties
• Global rigidity: The effect of coning
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• Equivalent realisations of a rigid graph
• Generic global rigidity
• Characterizing generic global rigidity
• Algorithms in real algebraic geometry
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