Combinatorial characterization of the Assur graphs from engineering
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Publication:973098
DOI10.1016/j.ejc.2009.11.019zbMath1191.05077arXiv0801.2525OpenAlexW1973866695MaRDI QIDQ973098
Offer Shai, Brigitte Servatius, Walter J. Whiteley
Publication date: 28 May 2010
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.2525
Applications of graph theory (05C90) Structural characterization of families of graphs (05C75) Dynamics of multibody systems (70E55)
Related Items (9)
Integrable systems in planar robotics ⋮ Symmetric versions of Laman's theorem ⋮ Point-hyperplane frameworks, slider joints, and rigidity preserving transformations ⋮ Directed graphs, decompositions, and spatial linkages ⋮ Unnamed Item ⋮ Geometric properties of Assur graphs ⋮ Graph-based structural analysis of planar mechanisms ⋮ Assur decompositions of direction-length frameworks ⋮ An Improved Bound for the Rigidity of Linearly Constrained Frameworks
Cites Work
- Geometric properties of Assur graphs
- The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary triangulated convex surfaces
- An algorithm for two-dimensional rigidity percolation: The pebble game
- A proof of Connelly's conjecture on 3-connected circuits of the rigidity matroid.
- Position analysis in polynomial form of planar mechanisms with Assur groups of class 3 including revolute and prismatic joints.
- Spaces of stresses, projections and parallel drawings for spherical polyhedra
- Structural synthesis of planar kinematic chains by adapting a McKay-type algorithm
- On graphs and rigidity of plane skeletal structures
- The Algebraic Geometry of Stresses in Frameworks
- Deriving structural theorems and methods using Tellegen's theorem and combinatorial representations.
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