DEVELOPMENT OF ALGORITHMS FOR FINDING AN ORTHOGONAL DRAWING OF A HIERARCHICAL GRAPH
Project/Area Number |
24500040
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Software
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Research Institution | Kobe University |
Principal Investigator |
MASUDA SUMIO 神戸大学, 工学(系)研究科(研究院), 教授 (80173748)
|
Co-Investigator(Renkei-kenkyūsha) |
YAMAGUCHI Kazuaki 神戸大学, 大学院工学研究科, 准教授 (60273760)
|
Project Period (FY) |
2012-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2013: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2012: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
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Keywords | アルゴリズム / グラフ理論 / 描画 |
Outline of Final Research Achievements |
In this research, we have presented algorithms for finding an orthogonal drawing of a hierarchical graph. In an orthogonal drawing, each edge is drawn as a path consisting of vertical and horizontal line segments. The proposed algorithms include the following methods: (i) an algorithm for sharing dummy vertices, (ii) a method for creating hyperedges from the set of edges of the resultant graph, (iii) a method for determining the x-coordinates of the vertices so that the total sum of the lengths of horizontal line segments becomes small, and (iv) an algorithm for drawing hyperedges. The last algorithm (iv) uses at most two horizontal line segments to draw each hyperedge and can make the number of edge crossings in the graph drawing small.
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Report
(4 results)
Research Products
(13 results)