| Project/Area Number |
21700005
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Fukushima University |
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Principal Investigator |
MIURA Kazuyuki Fukushima University, 共生システム理工学類, 准教授 (80333871)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Keywords | アルゴリズム理論 / グラフ理論 / 平面グラフ / 描画 / アルゴリズム / 凸描画 / 矩形勢力描画 |
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| Research Abstract |
A drawing of a plane graph G is called a rectangle-of-influence drawing if all vertices of G are put on plane grid points, all edges are drawn as straight line segments without any edge-intersection and there is no vertex in the proper inside of the axis-parallel rectangle defined by the two ends of every edge. In this study, I improve a sufficient condition for a plane graph G to have a rectangle-of-influence drawing, and present a linear time algorithm to construct a rectangle-of-influence drawing of G on (n-1) x (n-1) integer grid if G satisfies the condition.
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