Finite and infinitesimal rigidity with polyhedral norms

DOI10.1007/s00454-015-9706-xzbMath1329.52021arXiv1401.1336OpenAlexW1860988242WikidataQ59409241 ScholiaQ59409241MaRDI QIDQ894682

Derek Kitson

Publication date: 2 December 2015

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1336

zbMATH Keywords

polyhedral norminfinitesimally rigidbar-joint frameworkLaman's theorem

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (16)

Which graphs are rigid in \(\ell_p^d\)? ⋮ On Flattenability of Graphs ⋮ Equivalence of continuous, local and infinitesimal rigidity in normed spaces ⋮ Generalised rigid body motions in non-Euclidean planes with applications to global rigidity ⋮ Angle measures, general rotations, and roulettes in normed planes ⋮ \(\ell^1\) and \(\ell^\infty\) plane ⋮ Infinitesimal Rigidity in Normed Planes ⋮ The Excluded Minors for Isometric Realizability in the Plane ⋮ Graph rigidity for unitarily invariant matrix norms ⋮ Motions of grid-like reflection frameworks ⋮ The rigidity of infinite graphs ⋮ Symmetric isostatic frameworks with \(\ell^1\) or \(\ell^\infty\) distance constraints ⋮ Double-distance frameworks and mixed sparsity graphs ⋮ Homothetic packings of centrally symmetric convex bodies ⋮ Infinitesimal rigidity and prestress stability for frameworks in normed spaces ⋮ Maxwell-Laman counts for bar-joint frameworks in normed spaces

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