An Improved Bound for the Rigidity of Linearly Constrained Frameworks

DOI10.1137/20M134304XzbMath1464.52012arXiv2005.11051OpenAlexW3157204437MaRDI QIDQ4990392

Bill Jackson, Shin-ichi Tanigawa, Anthony Nixon

Publication date: 28 May 2021

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11051

zbMATH Keywords

rigiditycount matroidpinned frameworklinearly constrained framework

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 (2)

Global Rigidity of Line Constrained Frameworks ⋮ A sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in \(\mathbb{R}^2\)

Cites Work

• Slider-pinning rigidity: a Maxwell-Laman-type theorem
• Combinatorial characterization of the Assur graphs from engineering
• Point-hyperplane frameworks, slider joints, and rigidity preserving transformations
• The Rigidity of Graphs
• Rigidity of Frameworks Supported on Surfaces
• Rigidity of Linearly Constrained Frameworks
• A Characterization of Generically Rigid Frameworks on Surfaces of Revolution
• Rooted-Tree Decompositions with Matroid Constraints and the Infinitesimal Rigidity of Frameworks with Boundaries

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