2012 Fiscal Year Final Research Report
Discrete geometry and extremal combinatorics of hypergraphs
| Project/Area Number |
20340022
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | University of the Ryukyus |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
MAEHARA Hiroshi 琉球大学, その他部局等, 名誉教授 (60044921)
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| Research Collaborator |
FRANKL Peter
RUZSA Imre
BARANY Imre
SIGGERS Mark
GERVACIO Severino
中上川 友樹
竹村 彰通
紙屋 英彦
桑田 孝泰
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| Project Period (FY) |
2008 – 2012
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| Keywords | 組合せ論 / 極値組合せ論 / ハイパーグラフ / 極値集合論 / 離散幾何 |
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| Research Abstract |
We studied some concrete problems in discrete geometry and extremal combinatorics using tools coming from different branches of mathematics. We have obtained results on "sphere-systems in Euclidean spaces," "large regular simplices contained in a hypercube," "extension of the Erdos-Ko-Rado theorem on t-intersecting families," "convex bodies fixed by planar frames," and so on.
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