Incompressibility of domain-filling circle packings

DOI10.1007/s13366-017-0329-7zbMath1378.52023OpenAlexW2586140769MaRDI QIDQ2402913

David Krieg, Elias Wegert

Publication date: 15 September 2017

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0329-7

zbMATH Keywords

conformal mappingcircle packingquadrilateralconformal modulusprime enddiscrete conformal geometrytrilateraldomain fillingquad-complex

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Planar graphs; geometric and topological aspects of graph theory (05C10) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Circle packings and discrete conformal geometry (52C26) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (3)

Incompressibility of domain-filling circle packings ⋮ Rigidity of circle packings with crosscuts ⋮ Domain-filling circle packings

Uses Software

• CirclePack

Cites Work

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• Circle packings as differentiable manifolds
• Existence and uniqueness of packings with specified combinatorics
• Square tilings with prescribed combinatorics
• Moduli of families of curves for conformal and quasiconformal mappings
• Conformal uniformization and packings
• Incompressibility of domain-filling circle packings
• Incircles of trilaterals
• Modulus on graphs as a generalization of standard graph theoretic quantities
• Moduli in Modern Mapping Theory
• Squaring rectangles for dumbbells
• Rigidity of circle packings with crosscuts

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