OPERATIONS PRESERVING GLOBAL RIGIDITY OF GENERIC DIRECTION-LENGTH FRAMEWORKS

DOI10.1142/S0218195910003487zbMath1226.05241MaRDI QIDQ3070043

Bill Jackson, Tibor Jordán

Publication date: 2 February 2011

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

zbMATH Keywords

rigid graphsdirection and length constraintsglobally rigid frameworks

Mathematics Subject Classification ID

Applications of graph theory (05C90) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (5)

1-EXTENSIONS AND GLOBAL RIGIDITY OF GENERIC DIRECTION-LENGTH FRAMEWORKS ⋮ Global rigidity of direction-length frameworks ⋮ Bounded direction-length frameworks ⋮ Necessary conditions for the global rigidity of direction-length frameworks ⋮ Global rigidity of 2-dimensional direction-length frameworks with connected rigidity matroids

Cites Work

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• Globally rigid circuits of the direction-length rigidity matroid
• A proof of Connelly's conjecture on 3-connected circuits of the rigidity matroid.
• Connected rigidity matroids and unique realizations of graphs
• Generic global rigidity
• Globally linked pairs of vertices in equivalent realizations of graphs
• On Generic Rigidity in the Plane
• Conditions for Unique Graph Realizations
• Constraining Plane Configurations in Computer-Aided Design: Combinatorics of Directions and Lengths

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