Volume 1858 of the series Lecture Notes in Computer Science pp 8594
Rectangular Drawings of Plane Graphs Without Designated Corners
 Md. Saidur RahmanAffiliated withDepartment of Computer Science and Engineering, Bangladesh University of Engineering and Technology
 , Shinichi NakanoAffiliated withDepartment of Computer Science, Gunma University
 , Takao NishizekiAffiliated withGraduate School of Information Sciences, Tohoku University
Abstract
A rectangular drawing of a plane graph G is a drawing of G such that each vertex is drawn as a point, each edge is drawn as a horizontal or a vertical line segment, and the contour of each face is drawn as a rectangle. A necessary and sufficient condition for the existence of a rectangular drawing has been known only for the case where exactly four vertices of degree 2 are designated as corners in a given plane graph G. In this paper we establish a necessary and sufficient condition for the existence of a rectangular drawing of G for the general case in which no vertices are designated as corners. We also give a lineartime algorithm to find a rectangular drawing of G if it exists.
Key words
Graph Algorithm Graph Drawing Rectangular Drawing Title
 Rectangular Drawings of Plane Graphs Without Designated Corners
 Book Title
 Computing and Combinatorics
 Book Subtitle
 6th Annual International Conference, COCOON 2000 Sydney, Australia, July 26–28, 2000 Proceedings
 Pages
 pp 8594
 Copyright
 2000
 DOI
 10.1007/354044968X_9
 Print ISBN
 9783540677871
 Online ISBN
 9783540449683
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 1858
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
 Topics
 Keywords

 Graph
 Algorithm
 Graph Drawing
 Rectangular Drawing
 Industry Sectors
 eBook Packages
 Editors

 DingZhu Du ^{(4)}
 Peter Eades ^{(5)}
 Vladimir EstivillCastro ^{(5)}
 Xuemin Lin ^{(6)}
 Arun Sharma ^{(6)}
 Editor Affiliations

 4. Department of Computer Science and Engineering, University of Minnesota
 5. Department of Computer Science and Software Engineering, University of Newcastle
 6. School of Computer Science and Engineering, University of Newcastle
 Authors

 Md. Saidur Rahman ^{(7)}
 Shinichi Nakano ^{(8)}
 Takao Nishizeki ^{(9)}
 Author Affiliations

 7. Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, 100, Bangladesh
 8. Department of Computer Science, Gunma University, Kiryu, 3768515, Japan
 9. Graduate School of Information Sciences, Tohoku University, Aobayama 05, Sendai, 9808579, Japan
Continue reading...
To view the rest of this content please follow the download PDF link above.