2010 Fiscal Year Final Research Report
A study of rectangle-of-influence drawing algorithms of plane graphs
| 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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| Keywords | アルゴリズム理論 / グラフ理論 |
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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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