Paper Abstract and Keywords |
Presentation |
2006-10-17 09:00
Convex Grid Drawings of Plane Graphs with Rectangular Contours Akira Kamada (Tohoku Univ.), Kazuyuki Miura (Fukushima Univ.), Takao Nishizeki (Tohoku Univ.) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In a convex drawing of a plane graph, all edges are drawn as straight-line segments without any edge-intersection and all facial cycles are drawn as convex polygons.
In a convex grid drawing, all vertices are put on grid points.
A plane graph $G$ has a convex drawing if and only if $G$ is internally triconnected,and an internally triconnected plane graph $G$ has a convex grid drawing on an $n \times n$ grid if $G$ is triconnected or the triconnected component decomposition tree $T(G)$ of $G$ has two or three leaves, where $n$ is the number of vertices in $G$.
In this paper, we show that an internally triconnected plane graph $G$ has a convex grid drawing on a $2n \times n^2$ grid if $T(G)$ has exactly four leaves.
We also present an algorithm to find such a drawing in linear time.
Our convex grid drawing has a rectangular contour, while most of the known algorithms produce grid drawings having triangular contours. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
algorithm / convex grid drawing / graph drawing / plane graph / triconnected / / / |
Reference Info. |
IEICE Tech. Rep., vol. 106, no. 289, COMP2006-31, pp. 1-8, Oct. 2006. |
Paper # |
COMP2006-31 |
Date of Issue |
2006-10-10 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
COMP |
Conference Date |
2006-10-17 - 2006-10-17 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tohoku University |
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(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2006-10-COMP |
Language |
English (Japanese title is available) |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Convex Grid Drawings of Plane Graphs with Rectangular Contours |
Sub Title (in English) |
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Keyword(1) |
algorithm |
Keyword(2) |
convex grid drawing |
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graph drawing |
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plane graph |
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triconnected |
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1st Author's Name |
Akira Kamada |
1st Author's Affiliation |
Tohoku University (Tohoku Univ.) |
2nd Author's Name |
Kazuyuki Miura |
2nd Author's Affiliation |
Fukushima University (Fukushima Univ.) |
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Takao Nishizeki |
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Tohoku University (Tohoku Univ.) |
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Speaker |
Author-1 |
Date Time |
2006-10-17 09:00:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2006-31 |
Volume (vol) |
vol.106 |
Number (no) |
no.289 |
Page |
pp.1-8 |
#Pages |
8 |
Date of Issue |
2006-10-10 (COMP) |