Bounded outdegree and extremal length on discrete Riemann surfaces

DOI10.1090/S1088-4173-2010-00210-9zbMath1214.30038arXiv1007.0998OpenAlexW2168920687MaRDI QIDQ2997806

William E. Wood

Publication date: 9 May 2011

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0998

zbMATH Keywords

extremal lengthdiscrete conformal geometry

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Riemann surfaces (30F99)

Related Items

The triple intersection property, three dimensional extremal length, and tiling of a topological cube ⋮ Conformal tilings I: foundations, theory, and practice ⋮ Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem ⋮ Discrete extremal length and cube tilings in finite dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• The convergence of circle packings to the Riemann mapping
• Combinatorial modulus and type of graphs
• The extremal length of a network
• Planar orientations with low out-degree and compaction of adjacency matrices
• The combinatorial Riemann mapping theorem
• Hyperbolic and parabolic packings