Frameworks with forced symmetry. I: Reflections and rotations

DOI10.1007/s00454-015-9692-zzbMath1332.52013arXiv1304.0398OpenAlexW1511750487MaRDI QIDQ894679

Louis Theran, Justin Malestein

Publication date: 2 December 2015

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

Full work available at URL: https://arxiv.org/abs/1304.0398

zbMATH Keywords

matroidscombinatorial rigiditycolored graphforced symmetry

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Coloring of graphs and hypergraphs (05C15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (14)

Symmetry-forced rigidity of frameworks on surfaces ⋮ Rigidity of Frameworks on Expanding Spheres ⋮ Generic Symmetry-Forced Infinitesimal Rigidity: Translations and Rotations ⋮ Flexible placements of periodic graphs in the plane ⋮ \(\ell^1\) and \(\ell^\infty\) plane ⋮ Pairing symmetries for Euclidean and spherical frameworks ⋮ Global rigidity of periodic graphs under fixed-lattice representations ⋮ Frameworks with forced symmetry. II: Orientation-preserving crystallographic groups ⋮ Rigidity of symmetric frameworks in normed spaces ⋮ Motions of grid-like reflection frameworks ⋮ Infinitesimal Rigidity of Symmetric Bar-Joint Frameworks ⋮ One Brick at a Time: A Survey of Inductive Constructions in Rigidity Theory ⋮ Sufficient connectivity conditions for rigidity of symmetric frameworks ⋮ Gain-sparsity and symmetry-forced rigidity in the plane

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