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Rectangular grid drawings of plane graphs

  • Tohoku University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

The rectangular grid drawing of a plane graph G is a drawing of G such that each vertex is located on a grid point, each edge is drawn as a horizontal or vertical line segment, and the contour of each face is drawn as a rectangle. In this paper we give a simple linear-time algorithm to find a rectangular grid drawing of G if it exists. We also give an upper bound W+H ≤ n/2 on the sum of required width W and height H and a bound W+H ≤ n2/16 on the area of a rectangular grid drawing of G, where n is the number of vertices in G. These bounds are best possible, and hold for any compact rectangular grid drawing.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 2nd Annual International Conference, COCOON 1996, Proceedings
EditorsJin-Yi Cai, Chak Kuen Wong, Chak Kuen Wong
PublisherSpringer Verlag
Pages92-105
Number of pages14
ISBN (Print)9783540613329
DOIs
Publication statusPublished - 1996
Externally publishedYes
Event2nd Annual International Conference on Computing and Combinatorics, COCOON 1996 - Hong Kong, Hong Kong
Duration: 17 Jun 1996 → 19 Jun 1996

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1090
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd Annual International Conference on Computing and Combinatorics, COCOON 1996
Country/TerritoryHong Kong
CityHong Kong
Period17/06/96 → 19/06/96

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