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Two algorithms for finding rectangular duals of planar graphs

  • Utrecht University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

44 Scopus citations

Abstract

We present two linear-time algorithms for computing a regular edge labeling of 4-connected planar triangular graphs. This labeling is used to compute in linear time a rectangular dual of this class of planar graphs. The two algorithms are based on totally different frameworks, and both are conceptually simpler than the previous known algorithm and are of independent interests. The first algorithm is based on edge contraction. The second algorithm is based on the canonical ordering. This ordering can also be used to compute more compact visibility representations for this class of planar graphs.

Original languageEnglish
Title of host publicationGraph-Theoretic Concepts in Computer Science - 19th International Workshop, WG 1993, Proceedings
EditorsJan van Leeuwen
PublisherSpringer Verlag
Pages396-410
Number of pages15
ISBN (Print)9783540578994
DOIs
StatePublished - 1994
Event19th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 1993 - Utrecht, Netherlands
Duration: Jun 16 1993Jun 18 1993

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume790 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 1993
Country/TerritoryNetherlands
CityUtrecht
Period06/16/9306/18/93

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