| Presentation | 2005-10-18 Convex Drawings of Plane Graphs of Minimum Outer Apices Kazuyuki MIURA, Machiko AZUMA, Takao NISHIZEKI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In a convex drawing of a plane graph G, every facial cycle of G is drawn as a convex polygon. A polygon for the outer facial cycle is called an outer convex polygon. A necessary and sufficient condition for a plane graph G to have a convex drawing is known. However, it has not been known how many apices of an outer convex polygon are necessary for G to have a convex drawing. In this paper, we show that the minimum number of apices of an outer convex polygon necessary for G to have a convex drawing is, in effect, equal to the number of leaves in a triconnected component decomposition tree of a new graph constructed from G, and that a convex drawing of G having the minimum number of apices can be found in linear time. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Graph Drawing / Convex Drawing / Minimum Outer Apices |
| Paper # | COMP2005-42 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2005/10/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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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) | Convex Drawings of Plane Graphs of Minimum Outer Apices |
| Sub Title (in English) | |
| Keyword(1) | Graph Drawing |
| Keyword(2) | Convex Drawing |
| Keyword(3) | Minimum Outer Apices |
| 1st Author's Name | Kazuyuki MIURA |
| 1st Author's Affiliation | Faculty of Symbiotic Systems Science, Fukushima University() |
| 2nd Author's Name | Machiko AZUMA |
| 2nd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Takao NISHIZEKI |
| 3rd Author's Affiliation | Graduate School of Information Sciences, Tohoku University |
| Date | 2005-10-18 |
| Paper # | COMP2005-42 |
| Volume (vol) | vol.105 |
| Number (no) | 343 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |