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Convex representations of maps on the torus and other flat surfaces

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Publication:1314444
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DOI10.1007/BF02573996zbMath0791.05029MaRDI QIDQ1314444

Bojan Mohar

Publication date: 16 February 1994

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

Full work available at URL: https://eudml.org/doc/131290

zbMATH Keywords

flat surfacescylinderKlein bottleMöbius bandlinear-time algorithmconvex representation3- connectednessmap on a torusStein-Tutte theorem


Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Planar graphs; geometric and topological aspects of graph theory (05C10)


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Cites Work

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  • A polynomial time circle packing algorithm
  • Rectifiable n-periodic maps
  • Planarity and duality of finite and infinite graphs
  • Planar graphs: Theory and algorithms
  • An obstruction to embedding graphs in surfaces
  • Straight-line representations of maps on the torus and other flat surfaces
  • Convex Representations of Graphs
  • The toroidal analogue to Eberhard's theorem
  • Convex Maps
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