Planar Maps in 4 bits/edge  (Make Corrections)  
Fred Curtis

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Presented scheme encodes arbitary connected planar maps

Abstract: Existing planar map encodings neglect maps with loops. The presented scheme encodes any connected planar map in 4 bits/edge. Encoding and decoding time is O(edges). (Update)

Active bibliography (related documents):   More   All
0.0:   Triangle Fixer: Edge-based Connectivity Compression - Isenburg (1999)   (Correct)
0.0:   Face Fixer: Compressing Polygon Meshes with Properties - Isenburg, Snoeyink (2000)   (Correct)
0.0:   Compressing Polygon Mesh Connectivity with Degree Duality.. - Isenburg   (Correct)

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0.7:   Short Encodings of Planar Graphs and Maps - Keeler, Westbrook (1993)   (Correct)
0.3:   Bijective census and random generation of Eulerian planar maps.. - Schaeffer (1997)   (Correct)
0.3:   Bijective Census and Random Generation of - Eulerian Planar Maps   (Correct)

BibTeX entry:   (Update)

@misc{ curtis-planar,
  author = "Fred Curtis",
  title = "Planar Maps in 4 bits/edge",
  eprint = "math.CO/0104147",
  url = "citeseer.nj.nec.com/530467.html" }
Citations (may not include all citations):
219   Primitives for the Manipulation of General Subdivisions and .. (context) - Guibas, Stolfi - 1985
30   Short Encodings of Planar Graphs and Maps - Keeler, Westbrook - 1995
1   Initial revision giving encoding scheme (context) - Turn, succinct et al. - 2001
http://citeseer.nj.nec.com/chuang98compact.html
http://citeseer.nj.nec.com/keeler95short.html

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