Vertex spanning planar Laman graphs in triangulated surfaces

DOI10.1007/S00454-023-00517-WMaRDI QIDQ6624184

Simion Tarabykin, Eran Nevo

Publication date: 25 October 2024

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

zbMATH Keywords

triangulated surfacesframework rigidityrigidity with few locations

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Graph representations (geometric and intersection representations, etc.) (05C62)

Cites Work

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• Rigidity and the lower bound theorem. I
• All 2-manifolds have finitely many minimal triangulations
• Note on the irreducible triangulations of the Klein bottle
• Irreducible triangulations of the torus
• All orientable 2-manifolds have finitely many minimal triangulations
• Irreducible triangulations of the Klein bottle
• Generating the triangulations of the projective plane
• Rigidity with few locations
• Rigid realizations of graphs on small grids
• Rigid realizations of graphs with few locations in the plane
• Vertex spanning planar Laman graphs in triangulated surfaces

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