The generic rigidity of triangulated spheres with blocks and holes

DOI10.1016/j.jctb.2016.08.003zbMath1350.05165arXiv1507.02499OpenAlexW2963973777MaRDI QIDQ345108

Stephen C. Power, Derek Kitson, James Cruickshank

Publication date: 25 November 2016

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02499

zbMATH Keywords

infinitesimal rigiditycombinatorial rigidityvertex splittingbar-joint framework

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Graph theory (05C99)

Related Items (7)

The rigidity of infinite graphs. II ⋮ Global rigidity of triangulations with braces ⋮ Redundantly globally rigid braced triangulations ⋮ The rigidity of a partially triangulated torus ⋮ Extremal families of redundantly rigid graphs in three dimensions ⋮ Topological inductive constructions for tight surface graphs ⋮ Rigid block and hole graphs with a single block

Cites Work

• Isostatic Block and Hole Frameworks
• The Rigidity of Spherical Frameworks: Swapping Blocks and Holes
• Infinitesimally Rigid Polyhedra. I. Statics of Frameworks
• Infinitesimally Rigid Polyhedra. II: Modified Spherical Frameworks
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