Inductive constructions for frameworks on a two-dimensional fixed torus

DOI10.1007/s00454-015-9697-7zbMath1327.52038arXiv1203.6561OpenAlexW2010575627MaRDI QIDQ2354675

Elissa Ross

Publication date: 20 July 2015

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

Full work available at URL: https://arxiv.org/abs/1203.6561

zbMATH Keywords

infinitesimal rigiditygain graphsgeneric rigidityinductive constructionsperiodic frameworks

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (11)

Symmetry-forced rigidity of frameworks on surfaces ⋮ Generic Symmetry-Forced Infinitesimal Rigidity: Translations and Rotations ⋮ Flexible placements of periodic graphs in the plane ⋮ Frameworks with forced symmetry. I: Reflections and rotations ⋮ Global rigidity of periodic graphs under fixed-lattice representations ⋮ Periodic rigidity on a variable torus using inductive constructions ⋮ Double-distance frameworks and mixed sparsity graphs ⋮ Assur decompositions of direction-length frameworks ⋮ Sufficient conditions for the global rigidity of periodic graphs ⋮ On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere ⋮ Gain-sparsity and symmetry-forced rigidity in the plane

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