| Presentation | 1999/10/25 Grid Drawings of Four-Connected Plane Graphs Kazuyuki Miura, Shin-ichi Nakano, Takao Nishizeki, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A grid drawing of a plane graph G is a drawing of G on the plane so that all vertices of G are put on plane grid points and all edges are drawn as straight line segments between their endpoints without any edge-intersection. In this paper we give a very simple algorithm to find a grid drawing of any given 4-connected plane graph G with four or more vertices on the outer face. The algorithm takes time O(n) and needs a rectangular grid of width [n/2]-1 and height [n/2] if G has n vertices. The algorithm is best possible in the sense that there are an infinite number of 4-connected plane graphs any grid drawings of which need rectangular grids of width [n/2]-1 and height [n/2]. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Graph / Drawing / Algorithm |
| Paper # | COMP99-42 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 1999/10/25(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Theoretical Foundations of Computing (COMP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Grid Drawings of Four-Connected Plane Graphs |
| Sub Title (in English) | |
| Keyword(1) | Graph |
| Keyword(2) | Drawing |
| Keyword(3) | Algorithm |
| 1st Author's Name | Kazuyuki Miura |
| 1st Author's Affiliation | Guraduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Shin-ichi Nakano |
| 2nd Author's Affiliation | Department of Computer Science, Faculty of Engineering Gunma University |
| 3rd Author's Name | Takao Nishizeki |
| 3rd Author's Affiliation | Guraduate School of Information Sciences, Tohoku University |
| Date | 1999/10/25 |
| Paper # | COMP99-42 |
| Volume (vol) | vol.99 |
| Number (no) | 388 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |