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Orienting Triangulations

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Publication:2833256
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DOI10.1002/jgt.22005zbMath1350.05128arXiv1412.4979OpenAlexW2526558715MaRDI QIDQ2833256

Boris Albar, Kolja Knauer, Daniel Gonçalves

Publication date: 17 November 2016

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4979


zbMATH Keywords

triangulationssurfacesorientations


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)


Related Items (2)

Encoding toroidal triangulations ⋮ Orientations and bijections for toroidal maps with prescribed face-degrees and essential girth



Cites Work

  • Schnyder woods for higher genus triangulated surfaces, with applications to encoding
  • Bijective counting of tree-rooted maps and shuffles of parenthesis systems
  • Intervals in Catalan lattices and realizers of triangulations
  • Planar graphs and poset dimension
  • Lattice structures from planar graphs
  • Toroidal maps: Schnyder woods, orthogonal surfaces and straight-line representations
  • On Triangle Contact Graphs
  • Claw‐decompositions and tutte‐orientations
  • Convex drawings of planar graphs and the order dimension of 3-polytopes


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