| Project/Area Number |
20500022
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Fundamental theory of informatics
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| Research Institution | Meiji University |
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Principal Investigator |
TAMAKI Hisao Meiji University, 理工学部, 教授 (20111354)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | アルゴリズム / グラフ / 分枝分割 / 分枝幅 / グラフマイナー / 向き付け可能表面 / 種数 / グラフ理論 / 組み合わせ最適化 / 平面グラフ |
|---|
| Research Abstract |
We have developed a (1+2g/3)-approximation algorithm for the branch-decomposition of graph G embedded in an orientable surface of genus g. This result is based on an inequality bw(G)≧(3/2)fw(G), where bw(G) is the branchwidth of G and fw (G) is the face-width of G. We also have shown the inequality bw(G)≦3gm (G) for planar graphs, where gm(G) is the size of the largest grid minor of G and, based on this inequality, have developed a fast constant-factor approximation algorithm for the branch-decomposition of planar graphs.
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