| Presentation | 2009-10-16 Small Grid Drawings of Planar Graphs with Balanced Bipartition Xiao ZHOU, Takashi HIKINO, Takao NISHIZEKI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In a grid drawing of a planar graph, every vertex is located at a grid point, and every edge is drawn as a straight-line segment without any edge-intersection. It has been known that every planar graph G of n vertices has a grid drawing on an (n-2)×(n-2) integer grid and such a drawing can be found in linear time. In this paper we show that if a planar graph G has a balanced bipartition then G has a grid drawing with small grid area. More precisely, if a separation pair bipartitions G into two edge-disjoint subgraphs G_1 and G_2, then G has a grid drawing on a W×H grid such that both the width W and height H are smaller than the larger number of vertices in G_1 and in G_2. In particular, we show that every series-parallel graph has a grid drawing on a (2n/3)×(2n/3) grid and such a drawing can be found in linear time. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | grid drawing / series-parallel graph / planar graph |
| Paper # | COMP2009-33 |
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| Conference Information | |
| Committee | COMP |
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| Conference Date | 2009/10/9(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) | Small Grid Drawings of Planar Graphs with Balanced Bipartition |
| Sub Title (in English) | |
| Keyword(1) | grid drawing |
| Keyword(2) | series-parallel graph |
| Keyword(3) | planar graph |
| 1st Author's Name | Xiao ZHOU |
| 1st Author's Affiliation | Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Takashi HIKINO |
| 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 | 2009-10-16 |
| Paper # | COMP2009-33 |
| Volume (vol) | vol.109 |
| Number (no) | 235 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |