| Project/Area Number |
26880018
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Theory of informatics
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| Research Institution | Gakushuin University |
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Principal Investigator |
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| Project Period (FY) |
2014-08-29 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | グラフアルゴリズム / 厳密アルゴリズム / 固定パラメータアルゴリズム / グラフ描画 / グラフの階層描画 / 指数時間厳密アルゴリズム / パス幅 |
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| Outline of Final Research Achievements |
In this research, we apply exact algorithms to a well-known layered graph drawing technique, called Sugiyama method. Although several heuristic approaches are known for this method, no exact approach is known in the literature. Our experimental study shows that the state-of-the-art fixed parameter algorithm for minimizing the number of crossings is substantially applicable to reasonable-sized instances.Moreover, we give a new fixed parameter algorithm for the two-layer case, which improves the running time of the previously known fixed parameter algorithm.
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