Tutte embeddings of tetrahedral meshes

DOI10.1007/S00454-023-00494-0MaRDI QIDQ6662772

Marc Alexa

Publication date: 14 January 2025

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

zbMATH Keywords

convex combinationharmonic maptetrahedral meshlinkless embeddingTutte embedding

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graph algorithms (graph-theoretic aspects) (05C85) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

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• Cliques in graphs excluding a complete graph minor
• Connectivity of plane triangulations
• Sachs' linkless embedding conjecture
• Convex combination maps over triangulations, tilings, and tetrahedral meshes
• Discrete one-forms on meshes and applications to 3D mesh parameterization
• An Example of a Harmonic Map Between Euclidean Balls
• One-to-one piecewise linear mappings over triangulations
• Injectivity can fail for higher-dimensional harmonic extensions
• How to Draw a Graph

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