Stress matrices and global rigidity of frameworks on surfaces

DOI10.1007/s00454-015-9724-8zbMath1326.52020arXiv1406.5996OpenAlexW2113001921MaRDI QIDQ745663

Bill Jackson, Anthony Nixon

Publication date: 14 October 2015

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

Full work available at URL: https://arxiv.org/abs/1406.5996

zbMATH Keywords

rigidityglobal rigiditystress matrixframework on a surface

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Surfaces in Euclidean and related spaces (53A05) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (7)

Symmetry-forced rigidity of frameworks on surfaces ⋮ Necessary conditions for the generic global rigidity of frameworks on surfaces ⋮ Global rigidity of periodic graphs under fixed-lattice representations ⋮ The combinatorial geometry of stresses in frameworks ⋮ Rigid cylindrical frameworks with two coincident points ⋮ Geometric Criteria for Realizability of Tensegrities in Higher Dimensions ⋮ Global rigidity of generic frameworks on the cylinder

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A constructive characterisation of circuits in the simple \((2,2)\)-sparsity matroid
• Necessary conditions for the generic global rigidity of frameworks on surfaces
• Necessary conditions for the global rigidity of direction-length frameworks
• Global rigidity: The effect of coning
• Rigidity and energy
• Connected rigidity matroids and unique realizations of graphs
• Generic global rigidity
• On graphs and rigidity of plane skeletal structures
• Characterizing generic global rigidity
• Conditions for Unique Graph Realizations
• Rigidity of Frameworks Supported on Surfaces
• A Characterization of Generically Rigid Frameworks on Surfaces of Revolution
• Algorithms in real algebraic geometry

This page was built for publication: Stress matrices and global rigidity of frameworks on surfaces