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2010 Fiscal Year Self-evaluation Report

• Project/Area Number: 20340022
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: University of the Ryukyus
• Principal Investigator: 徳重 典英 University of the Ryukyus, 教育学部, 教授 (00217481)
• Project Period (FY): 2008 – 2012
• Keywords: 組合せ論

Research Abstract

本研究は、配置の幾何とハイパーグラフの極値組合せ論に関する具体的な課題に対して、幾何学的な方法と組合せ論的な方法の双方を用い、さらに確率論的手法や数論からの応用も援用しながら研究するものである。

Research Products

• [Journal Article] A product version of the Erdos-Ko-Rado theorem (2011)
  • Author(s): N.Tokushige.
  • Journal Title: J.Comb.Theory(A) vol 118 Pages: 1575-1587
  • Peer Reviewed
• [Journal Article] Regular simplices passing through holes. (2010)
  • Author(s): H.Maehara, N.Tokushige.
  • Journal Title: Geometriae Dedicata 145 Pages: 19-32
  • Peer Reviewed
• [Journal Article] From line-systems to sphere-systems --- Schlafli's double six, Lie's line-sphere transformation, and Grace's theorem. (2009)
  • Author(s): H.Maehara, N.Tokushige.
  • Journal Title: European J.Comb. 30 Pages: 1337-1351
  • Peer Reviewed
• [Journal Article] Large regular simplices contained in a hypercube. (2009)
  • Author(s): H.Maehara, I.Z.Ruzsa, N.Tokushige.
  • Journal Title: Periodica Math. Hungarica. 58 Pages: 121-126
  • Peer Reviewed
• [Journal Article] Wallace's theorem and Miquel's theorem in higher dimensions. (2009)
  • Author(s): H.Maehara, N.Tokushige.
  • Journal Title: Journal of Geometry 95 Pages: 69-72
  • Peer Reviewed
• [Presentation] Lattice points on conics. (2010)
  • Author(s): 前原濶
  • Organizer: 第27回代数的組合せ論シンポジウム
  • Place of Presentation: 高知大学
  • Year and Date: 2010-06-21
• [Presentation] 離散幾何の話題から (2009)
  • Author(s): 徳重典英
  • Organizer: 応用数学合同研究集会合同セッション
  • Place of Presentation: 龍谷大学
  • Year and Date: 2009-12-18
• [Presentation] On a triangular hole through which a tetrahedron can go. (2009)
  • Author(s): H.Maehara
  • Organizer: Discrete Geometry and Statistics of Configurations.
  • Place of Presentation: Steklov Math.Inst.Moscow(Russia)
  • Year and Date: 2009-06-02
• [Presentation] Convex body passing through holes. (2008)
  • Author(s): N.Tokushige
  • Organizer: Kyoto RIMS workshop on computational geometry and discrete mathematics.
  • Place of Presentation: 京都大学
  • Year and Date: 2008-10-17
• [Presentation] From line-systems to sphere-systems. (2008)
  • Author(s): H.Maehara
  • Organizer: Intuitive geometry in Memoriam Laszlo Fejes.
  • Place of Presentation: Renyi Institute, Budapest(Hungary)
  • Year and Date: 2008-07-02