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Discrete geometry and extremal combinatorics of hypergraphs

Research Project

Project/Area Number 20340022
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of the Ryukyus

Principal Investigator

TOKUSHIGE Norihide  琉球大学, 教育学部, 教授 (00217481)

Co-Investigator(Kenkyū-buntansha) MAEHARA Hiroshi  琉球大学, その他部局等, 名誉教授 (60044921)
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  
Project Period (FY) 2008 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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 / 離散数学 / extremal combinatorics / 配置の幾何 / 数え上げ / 凸体の幾何 / 格子点 / 折り紙変形
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.

Report

(7 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (139 results)

All 2013 2012 2011 2010 2009 2008 Other

All Journal Article (48 results) (of which Peer Reviewed: 46 results) Presentation (89 results) (of which Invited: 1 results) Book (2 results)

  • [Journal Article] he maximum size of intersecting and union families of sets2012

    • Author(s)
      M.Siggers, N.Tokushige
    • Journal Title

      J. Combin

      Volume: 33 Issue: 2 Pages: 128-138

    • DOI

      10.1016/j.ejc.2011.08.004

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Application of arrangements theory to unifolding models2012

    • Author(s)
      H.Kamiya, A.Takemura, N.Tokushige
    • Journal Title

      Adv. Stud. Pure. Math

      Volume: 62 Pages: 399-415

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Counting lattice paths via a new cycle lemma2012

    • Author(s)
      T.Nakamigawa, N.Tokushige
    • Journal Title

      SIAM J. Discrete Math

      Volume: 26 Issue: 2 Pages: 745-754

    • DOI

      10.1137/100796431

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Holding a regular pyramid by a circle.2012

    • Author(s)
      H.Maehara
    • Journal Title

      Journal of Geometry

      Volume: 102 Issue: 1-2 Pages: 133-147

    • DOI

      10.1007/s00022-012-0104-8

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame2012

    • Author(s)
      I.Barany, H.Maehara, N.Tokushige
    • Journal Title

      Computational Geometry

      Volume: 45 Issue: 1-2 Pages: 14-20

    • DOI

      10.1016/j.comgeo.2011.07.004

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On r-cross intersecting families of sets2012

    • Author(s)
      P.Frankl, N.Tokushige
    • Journal Title

      Combinatorics, Probability & Computing

      Volume: 20 Issue: 5 Pages: 749-752

    • DOI

      10.1017/s0963548311000289

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Application of arrangements theory to unfolding models.2012

    • Author(s)
      Kamiya, Hidehiko; Takemura, Akimichi; Tokushige, Norihide
    • Journal Title

      Adv. Stud. Pure Math.,

      Volume: 62 Pages: 399-415

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classification of the Congruent Embeddings of a Tetrahedron into a Triangular Prism2011

    • Author(s)
      H.Maehara, N.Tokushige
    • Journal Title

      Graphs and Combinatorics

      Volume: 27 Issue: 3 Pages: 451-463

    • DOI

      10.1007/s00373-011-1016-3

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A product version of the Erdos-Ko-Rado theorem2011

    • Author(s)
      N.Tokushige
    • Journal Title

      J. Comb. Theory (A)

      Volume: vol 118 Pages: 1575-1587

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the diameter of a circle to hold a cube.2011

    • Author(s)
      H.Maehara
    • Journal Title

      Lecture notes in computer science

      Volume: 7033 Pages: 147-153

    • DOI

      10.1007/978-3-642-24983-9_15

    • ISBN
      9783642249822, 9783642249839
    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Lattice points on similar figures and conics.2011

    • Author(s)
      T.Kuwata, H.Maehara
    • Journal Title

      Graphs and Combinatorics

      Volume: 27 Pages: 441-450

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On a proper acute- triangulation of a polyhedral surface.2011

    • Author(s)
      H.Maehara
    • Journal Title

      Discrete Math

      Volume: 311 Issue: 17 Pages: 1903-1909

    • DOI

      10.1016/j.disc.2011.05.012

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on lights out puzzle: parity-state graphs2011

    • Author(s)
      S.V.Gervacio, H.Maehara
    • Journal Title

      Graphs and Combinatorics

      Volume: 27 Pages: 109-119

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the diameter of a circle to hold a cube2011

    • Author(s)
      H.Maehara
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 7033/2011 Pages: 147-153

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Lattice points on similar figures and conies2011

    • Author(s)
      T.Kuwata, H.Maehara
    • Journal Title

      Graphs Combin

      Volume: 27 Pages: 441-450

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A product version of the Erdos-Ko-Rado theorem2011

    • Author(s)
      N.Tokushige.
    • Journal Title

      J.Comb.Theory(A) vol 118

      Pages: 1575-1587

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A product version of the Erdos-Ko-Rado theorem2011

    • Author(s)
      N.Tokushige
    • Journal Title

      J.Comb.Theory(A)

      Volume: 118 Pages: 1575-1587

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on lights out puzzle-parity-state graphs2011

    • Author(s)
      S.V.Gervacio, H.Maehara
    • Journal Title

      Graphs and Combinatorics

      Volume: 27 Pages: 109-119

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On cross t-intersecting families of sets2010

    • Author(s)
      N.Tokushige
    • Journal Title

      J. Comb. Theory (A)

      Volume: 117 Pages: 1167-1177

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Regular simplices passing through holes2010

    • Author(s)
      H.Maehara, N.Tokushige
    • Journal Title

      Geometriae Dedicata

      Volume: 145 Pages: 19-32

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On a sphere that passes through n lattice points2010

    • Author(s)
      H.Maehara
    • Journal Title

      European J. Combin

      Volume: 31 Pages: 617-621

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On congruent embeddings of a tetrahedron into circular cylinder2010

    • Author(s)
      H.Maehara
    • Journal Title

      Yokohama Math J

      Volume: 55 Pages: 171-177

    • NAID

      120006360241

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reversing a polyhedral surface by origami-deformation2010

    • Author(s)
      H.Maehara
    • Journal Title

      European J. Combin

      Volume: 31 Pages: 1171-1180

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Regular simplices passing through holes.2010

    • Author(s)
      H.Maehara, N.Tokushige.
    • Journal Title

      Geometriae Dedicata 145

      Pages: 19-32

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] On cross t-intersecting families of sets2010

    • Author(s)
      N.Tokushige
    • Journal Title

      J.Comb.Theory(A)

      Volume: 117 Pages: 1167-1177

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Regular simplices passing through holes2010

    • Author(s)
      N.Tokushige, H.Maehara
    • Journal Title

      Geometriae Dedicata 145

      Pages: 19-32

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a sphere that passes through n lattice points2010

    • Author(s)
      H.Maehara
    • Journal Title

      European Journal of Combinatorics 31

      Pages: 617-621

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On congruent embeddings of a tetrahedron into a circular cylinder2010

    • Author(s)
      H.Maehara
    • Journal Title

      Yokohama Math. J. 55

      Pages: 171-177

    • NAID

      120006360241

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reversing a polyhedral surface by origami-deformation2010

    • Author(s)
      H.Maehara
    • Journal Title

      European Journal of Combinatorics 31

      Pages: 1171-1180

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] From line-systems to sphere-systems --- Schlafli's double six, Lie's line-sphere transformation, and Grace's theorem2009

    • Author(s)
      H.Maehara, N.Tokushige
    • Journal Title

      European J. Comb

      Volume: 30 Pages: 1337-1351

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A multiply intersecting Erdos-Ko-Rado theorem --- the principal case2009

    • Author(s)
      N.Tokushige
    • Journal Title

      Discrete Math

      Volume: 310 Pages: 453-460

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Large regular simplices contained in a hypercube2009

    • Author(s)
      H.Maehara, I.Z.Ruzsa, N.Tokushige
    • Journal Title

      Periodica Math. Hungarica

      Volume: 58 Pages: 121-126

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Wallace's theorem and Miquel's theorem in higher dimensions2009

    • Author(s)
      H.Maehara, N.Tokushige
    • Journal Title

      Journal of Geometry

      Volume: 95 Pages: 69-72

    • Related Report
      2012 Final Research Report
    • 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

    • Related Report
      2010 Self-evaluation Report
    • 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

    • Related Report
      2010 Self-evaluation Report
    • 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

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A multiply intersecting Erdos-Ko-Rado theorem -the principal case2009

    • Author(s)
      N.Tokushige
    • Journal Title

      Discrete Mathematics 310

      Pages: 453-460

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] From line-systems to sphere-systems Schlafli's double six, Lie's line-spheme transformation, and Grace's theorem2009

    • Author(s)
      N.Tokushige, H.Maehara
    • Journal Title

      European Journal of Combinatorics 30

      Pages: 1337-1351

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Wallace's theorem and Miquel's theorem in higher dimensions2009

    • Author(s)
      N.Tokushige, H.Maehara
    • Journal Title

      Journal of Geometry 95

      Pages: 69-72

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convex bodies passing through holes2009

    • Author(s)
      N.Tokushige, H.Maehara
    • Journal Title

      RIMS Koukyuuroku(Computational geometry and discrete mathematics) 1641

      Pages: 68-73

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Large regular simplices contained in a hypercube2009

    • Author(s)
      H. Maehara, I. Z. Ruzsa, N. Tokushige
    • Journal Title

      Periodica Mathematica Hungarica 58

      Pages: 121-126

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The random walk method for intersecting families, in Horizons of combinatorics2008

    • Author(s)
      N.Tokushige
    • Journal Title

      Bolyai society mathematical studies

      Volume: 17

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Brace-Daykin type inequalities for intersecting uniform families2008

    • Author(s)
      N.Tokushige
    • Journal Title

      European J. of Comb

      Volume: Vol 29 Pages: 273-285

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Planar unit-distance graphs having planar unit-distance complement.2008

    • Author(s)
      S.V.Gervacio, Y.F.Lim, H.Maehara
    • Journal Title

      Discrete Math

      Volume: 308 Pages: 1973-1984

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] The random walk method for intersecting families2008

    • Author(s)
      N. Tokushige
    • Journal Title

      Bolyai society mathematical studies 17

      Pages: 215-224

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Brace-Daykin type inequalities for intersecting uniform families2008

    • Author(s)
      N. Tokushige
    • Journal Title

      European J. of Comb. 29

      Pages: 273-285

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Planar unit-distance graphs having planar unit-distance complement2008

    • Author(s)
      S. V. Gervacio, Y. F. Lim, H. Maehara
    • Journal Title

      Discrete Mathematics 308

      Pages: 1973-1984

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On triangulations of the surface of a cube into planar acute trainagles2008

    • Author(s)
      J. Itoh, H. Maehara
    • Journal Title

      Ryukyu Mathematical Journal 21

      Pages: 15-22

    • Related Report
      2008 Annual Research Report
  • [Presentation] The ratio bound and intersecting families2013

    • Author(s)
      N.Tokushige
    • Organizer
      代数的グラフ理論、スペクトラルグラフ理論および周辺領域
    • Place of Presentation
      名古屋大学(名古屋)
    • Year and Date
      2013-01-05
    • Related Report
      2012 Final Research Report
  • [Presentation] Two-coloring with many monochromatic cliques in both colors, and some related problems2013

    • Author(s)
      Tokushige, Norihide
    • Organizer
      8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      Veszprem, Hungary
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] グラフの第二固有値とその交差族への応用2012

    • Author(s)
      徳重典英
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Year and Date
      2012-12-21
    • Related Report
      2012 Final Research Report
  • [Presentation] The eigenvalue method for intersecting families2012

    • Author(s)
      N.Tokushige
    • Organizer
      The 2nd Japan- Taiwan Conference on Combinatorics and its Applications.
    • Place of Presentation
      Nagoya Univ
    • Year and Date
      2012-11-10
    • Related Report
      2012 Final Research Report
  • [Presentation] Hoffman's bound for cross intersecting families2012

    • Author(s)
      N.Tokushige
    • Organizer
      53rd KPPY combinatorics workshop
    • Place of Presentation
      Kyungpook National University (Korea)
    • Year and Date
      2012-08-07
    • Related Report
      2012 Final Research Report
  • [Presentation] An optimal coloring from a body of revolution2012

    • Author(s)
      N.Tokushige
    • Organizer
      ESF research conference on perspectives in discrete mathematics
    • Place of Presentation
      Centre de Recerca Mathematica (Spain)
    • Year and Date
      2012-06-26
    • Related Report
      2012 Final Research Report
  • [Presentation] Bend-formulas in some sphere-systems2012

    • Author(s)
      前原濶
    • Organizer
      離散数学一日研究集会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-06-23
    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Presentation] 距離の変換とグラフの埋め込み2012

    • Author(s)
      H.Maehara
    • Organizer
      関西グラフ理論研究集会
    • Place of Presentation
      加計国際学術交流センター(倉敷)
    • Year and Date
      2012-03-07
    • Related Report
      2011 Annual Research Report
  • [Presentation] 包含行列のランクと交差族のq類似2011

    • Author(s)
      徳重典英
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Year and Date
      2011-12-17
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] Necks of regular polyhedra2011

    • Author(s)
      H.Maehara
    • Organizer
      Japan conference on discrete and computational geometry.
    • Place of Presentation
      東海大学(東京)
    • Year and Date
      2011-11-28
    • Related Report
      2012 Final Research Report
  • [Presentation] Necks of regular polyhedra2011

    • Author(s)
      H.Maehara
    • Organizer
      Japan Conference on Discrete and Computational Geometry
    • Place of Presentation
      東海大学(東京都渋谷区)(招待講演)
    • Year and Date
      2011-11-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] 多角形のフリップ変形について2011

    • Author(s)
      H.Maehara
    • Organizer
      位相幾何学的グラフ理論研究集会
    • Place of Presentation
      横浜ラシドフークタスー(横浜)
    • Year and Date
      2011-11-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] To hold a convex body by a frame2011

    • Author(s)
      H.Maehara
    • Organizer
      Workshop on Rigidity
    • Place of Presentation
      Fields Institute (Canada)
    • Year and Date
      2011-10-11
    • Related Report
      2012 Final Research Report
  • [Presentation] To hold a convex body by a frame2011

    • Author(s)
      H.Maehara
    • Organizer
      Workshop on Rigidity
    • Place of Presentation
      Fields Institute (Toronto)
    • Year and Date
      2011-10-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Counting the number of ranking patterns2011

    • Author(s)
      N.Tokushige
    • Organizer
      MFO workshop on Discrete Geometry
    • Place of Presentation
      MFO (Germany)
    • Year and Date
      2011-09-08
    • Related Report
      2012 Final Research Report
  • [Presentation] Counting the number of ranking patterns2011

    • Author(s)
      N.Tokushige
    • Organizer
      MFO workshop on Discrete Geometry
    • Place of Presentation
      MFO (Oberwolfach)
    • Year and Date
      2011-09-08
    • Related Report
      2011 Annual Research Report
  • [Presentation] To hold a convex body by a circle2011

    • Author(s)
      H.Maehara
    • Organizer
      MFO workshop on Discrete Geometry
    • Place of Presentation
      MFO (Germany)
    • Year and Date
      2011-09-05
    • Related Report
      2012 Final Research Report
  • [Presentation] To hold a convex body by a circle2011

    • Author(s)
      H.Maehara
    • Organizer
      Workshop on Discrete Geometry
    • Place of Presentation
      MFO (Oberwolfach)
    • Year and Date
      2011-09-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] Katona's t-intersection theorem and some related results2011

    • Author(s)
      N.Tokushige
    • Organizer
      Katona 70 conference
    • Place of Presentation
      Renyi Institute (Hungary)
    • Year and Date
      2011-09-04
    • Related Report
      2012 Final Research Report
  • [Presentation] Katona's t-intersection theorem and some related results2011

    • Author(s)
      N.Tokushige
    • Organizer
      Katona 70
    • Place of Presentation
      Renyi Institute (Budapest)(招待講演)
    • Year and Date
      2011-09-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] Counting lattice paths via cycle lemma2011

    • Author(s)
      N.Tokushig
    • Organizer
      EuroComb 2011
    • Place of Presentation
      Eotvos Univ. (Hungary)
    • Year and Date
      2011-09-01
    • Related Report
      2012 Final Research Report
  • [Presentation] Counting lattice paths via cycle lemma2011

    • Author(s)
      N.Tokushige
    • Organizer
      EuroComb 2011
    • Place of Presentation
      Eotvos University (Budapest)
    • Year and Date
      2011-09-01
    • Related Report
      2011 Annual Research Report
  • [Presentation] 完全グラフの 2 着色、単峰列、ヤング図形、回転体体積.2011

    • Author(s)
      徳重典英
    • Organizer
      離散数学とその応用研究集会2011
    • Place of Presentation
      奈良文化会館(奈良)
    • Year and Date
      2011-07-31
    • Related Report
      2012 Final Research Report
  • [Presentation] 完全グラフの2着色、単峰列、ヤング図形、回転体体積2011

    • Author(s)
      N.Tokushige
    • Organizer
      離散数学とその応用研究集会2011
    • Place of Presentation
      奈良文化会館(奈良市)
    • Year and Date
      2011-07-31
    • Related Report
      2011 Annual Research Report
  • [Presentation] Some results and problems concerning cross-intersecting families2011

    • Author(s)
      N.Tokushige
    • Organizer
      The 7th Hungarian-Japanese Symposium on Discrete Mathematics and Its Applications
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2011-06-03
    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Presentation] フレームで凸体をつかむ2011

    • Author(s)
      徳重典英
    • Organizer
      第6回組合せゲーム・パズル ミニ研究集会
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2011-03-10
    • Related Report
      2012 Final Research Report
  • [Presentation] フレームで凸体をつかむ2011

    • Author(s)
      徳重典英
    • Organizer
      第6回組合せゲーム・パズル ミニ研究集会
    • Place of Presentation
      京都大学
    • Year and Date
      2011-03-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] 多重交差族の和積と相加相乗不等式2010

    • Author(s)
      徳重典英
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Year and Date
      2010-12-17
    • Related Report
      2012 Final Research Report
  • [Presentation] 多重交差族の和積と相加相乗不等式2010

    • Author(s)
      徳重典英
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学
    • Year and Date
      2010-12-17
    • Related Report
      2010 Annual Research Report
  • [Presentation] 凸体に輪を嵌める2010

    • Author(s)
      前原濶
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Year and Date
      2010-12-16
    • Related Report
      2012 Final Research Report
  • [Presentation] 凸体に輪を嵌める2010

    • Author(s)
      前原濶
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(招待講演)
    • Year and Date
      2010-12-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] n 次元立方体の中の大きな n 次元正則単体 その22010

    • Author(s)
      徳重典英
    • Organizer
      Hadamard 行列とそれに関係する代数的組合せ論
    • Place of Presentation
      神戸学院大学 (神戸)
    • Year and Date
      2010-12-12
    • Related Report
      2012 Final Research Report
  • [Presentation] n次元立方体の中の大きなn次元正則単体 その22010

    • Author(s)
      徳重典英
    • Organizer
      Hadamard行列とそれに関係する代数的組合せ論
    • Place of Presentation
      神戸学院大学
    • Year and Date
      2010-12-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] 探検隊の問題2010

    • Author(s)
      前原濶
    • Organizer
      位相幾何学的グラフ理論研究集会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2010-11-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] On the diameter of a circle to hold a cube2010

    • Author(s)
      H.Maehara
    • Organizer
      The China-Japan Conference on Computational Geometry, Graphs and Applications
    • Place of Presentation
      Dalian(China)
    • Year and Date
      2010-11-06
    • Related Report
      2012 Final Research Report
  • [Presentation] On the diameter of a circle to hold a cube2010

    • Author(s)
      H.Maehara
    • Organizer
      The China-Japan Conference on Computational Ge-ometry, Graphs and Applications
    • Place of Presentation
      Dalian(中国)
    • Year and Date
      2010-11-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] Acute triangulations of polyhedral surfaces2010

    • Author(s)
      H.Maehara
    • Organizer
      The China-Japan Conference on Computational Ge-ometry, Graphs and Applications
    • Place of Presentation
      Dalian(中国)(招待講演)
    • Year and Date
      2010-11-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] On a proper acute triangulation of a poyhedral surface2010

    • Author(s)
      前原濶
    • Organizer
      離散数学とその応用研究集会
    • Place of Presentation
      高知大学 (高知)
    • Year and Date
      2010-08-01
    • Related Report
      2012 Final Research Report
  • [Presentation] On a proper acute triangulation of a polyhedral surface2010

    • Author(s)
      前原濶
    • Organizer
      離散数学とその応用研究集会2010
    • Place of Presentation
      高知大学
    • Year and Date
      2010-08-01
    • Related Report
      2010 Annual Research Report
  • [Presentation] ランキングパタンの数え上げ2010

    • Author(s)
      徳重典英
    • Organizer
      離散数学とその応用研究集会
    • Place of Presentation
      高知大学 (高知)
    • Year and Date
      2010-07-31
    • Related Report
      2012 Final Research Report
  • [Presentation] ランキングパタンの数え上げ2010

    • Author(s)
      徳重典英
    • Organizer
      離散数学とその応用研究集会2010
    • Place of Presentation
      高知大学
    • Year and Date
      2010-07-31
    • Related Report
      2010 Annual Research Report
  • [Presentation] Counting the number of ranking patterns2010

    • Author(s)
      N.Tokushige
    • Organizer
      International conference on Algebraic and Geometric Cominatorics
    • Place of Presentation
      Hotel Concorde Gyeongju (Korea)
    • Year and Date
      2010-07-16
    • Related Report
      2012 Final Research Report
  • [Presentation] Counting the number of ranking patterns2010

    • Author(s)
      徳重典英
    • Organizer
      International conerence on algebraic and geometric combinatorics 2010
    • Place of Presentation
      Hotel Concorde Gyeongju(韓国)
    • Year and Date
      2010-07-16
    • Related Report
      2010 Annual Research Report
  • [Presentation] Lattice points on conics2010

    • 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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Lattice points on tonics2010

    • 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
    • Related Report
      2010 Annual Research Report
  • [Presentation] On a proper acute triangulation of a polyhedral surface2010

    • Author(s)
      H.Maehara
    • Organizer
      Third Texes Southmost Geometry and Topology Conference
    • Place of Presentation
      テキサス大学(米国)
    • Year and Date
      2010-04-15
    • Related Report
      2012 Final Research Report
  • [Presentation] On a proper acute triangulation of a polyhedral surface2010

    • Author(s)
      H.Maehara
    • Organizer
      Third Texas Southmost Geometry and Topology Conference
    • Place of Presentation
      テキサス大学(米国)
    • Year and Date
      2010-04-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] n 次元立方体の中の大きな n 次元正則単体2010

    • Author(s)
      徳重典英
    • Organizer
      代数的組合せ論ミニ研究集会
    • Place of Presentation
      神戸学院大学 (神戸
    • Year and Date
      2010-03-16
    • Related Report
      2012 Final Research Report
  • [Presentation] n次元立方体の中の大きなn次元正則単体2010

    • Author(s)
      徳重典英
    • Organizer
      代数的組合せ論研究集会
    • Place of Presentation
      神戸学院大学(神戸)
    • Year and Date
      2010-03-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] Large regular simplices contained in a hypercube2010

    • Author(s)
      N.Tokushige
    • Organizer
      Graph Theory Seminar
    • Place of Presentation
      Kyungpook National University(Daegu, South Korea)
    • Year and Date
      2010-02-18
    • Related Report
      2012 Final Research Report
  • [Presentation] Large regular simplices contained in a hypercube2010

    • Author(s)
      徳重典英
    • Organizer
      Graph Theory Seminar at Kyungpook National Univ.
    • Place of Presentation
      Daegu(韓国)
    • Year and Date
      2010-02-18
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report 2010 Self-evaluation Report
  • [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(滋賀県大津市)
    • Year and Date
      2009-12-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] On holes through which a regular simplex can go2009

    • Author(s)
      H.Maehara
    • Organizer
      11th International conference on discrete mathematics: convexity and discrete geometry
    • Place of Presentation
      Dortmund (Germany)
    • Year and Date
      2009-07-27
    • Related Report
      2012 Final Research Report
  • [Presentation] On holes through which a regular simplex can go2009

    • Author(s)
      H.Maehara
    • Organizer
      11th International Conference on Discrete Mathematics : Convexity and Discrete Geometry
    • Place of Presentation
      Dortmund, Germany
    • Year and Date
      2009-07-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] On a triangular hole through which a tetrahedron can go2009

    • 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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] On a triangular hole through which a tetrahedron can go2009

    • Author(s)
      H.Maehara
    • Organizer
      Discrete Geometry and Statistics of Configurations at Steklov Math. Inst.
    • Place of Presentation
      Moscow, Russia
    • Year and Date
      2009-06-02
    • Related Report
      2009 Annual Research Report
  • [Presentation] Elementary geometry on Z_d2009

    • Author(s)
      H.Maehara
    • Organizer
      Workshop in graph theory and combinatorics
    • Place of Presentation
      Manila, Philippine
    • Year and Date
      2009-04-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] Reversing polyhedral surfaces by origami-deformation2009

    • Author(s)
      H.Maehara
    • Organizer
      International conference on graph theory and combinatorics 2009
    • Place of Presentation
      Manila (Philippine)
    • Year and Date
      2009-04-24
    • Related Report
      2012 Final Research Report
  • [Presentation] Reversing polyhedral surfaces by origami-deformation2009

    • Author(s)
      H.Maehara
    • Organizer
      International conference on graph theory and com-binatorics 2009
    • Place of Presentation
      Manila, Philippine
    • Year and Date
      2009-04-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] 正四面体が通過できる小さな壁穴、およびその高次元版2009

    • Author(s)
      徳重典英
    • Organizer
      第4回組合せゲーム・パズル研究集会
    • Place of Presentation
      東工大(東京都目黒区)
    • Year and Date
      2009-03-03
    • Related Report
      2012 Final Research Report
  • [Presentation] 正四面体が通過できる小さな壁穴、およびその高次元版2009

    • Author(s)
      徳重典英
    • Organizer
      第4回組合せゲーム・パズル研究集会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2009-03-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] Steinhaus' problem and its variation in planar lattices2009

    • Author(s)
      H.Maehara
    • Organizer
      SYM Symposium
    • Place of Presentation
      統計数理研究所(東京)
    • Year and Date
      2009-02-20
    • Related Report
      2012 Final Research Report
  • [Presentation] Steinhaus' problem and its variation in planar lattices2009

    • Author(s)
      H. Maehara
    • Organizer
      ISM Symposium
    • Place of Presentation
      統計数理研究所(東京)
    • Year and Date
      2009-02-20
    • Related Report
      2008 Annual Research Report
  • [Presentation] Move a regular simplex through a round hole in high di mensions2009

    • Author(s)
      H. Maehara
    • Organizer
      直観幾何学研究会
    • Place of Presentation
      熊本大学
    • Year and Date
      2009-02-14
    • Related Report
      2008 Annual Research Report
  • [Presentation] Large regular simplices contained in a hypercube2009

    • Author(s)
      N.Tokushige
    • Organizer
      第5回組合せ論若手研究集会
    • Place of Presentation
      慶応義塾大学(横浜)
    • Year and Date
      2009-02-04
    • Related Report
      2012 Final Research Report
  • [Presentation] Large regular simplices contained in a hypercube2009

    • Author(s)
      徳重典英
    • Organizer
      第5回組合せ論若手研究集会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2009-02-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] 壁穴を通過する正四面体、およびその高次元版2008

    • Author(s)
      徳重典英
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(瀬田)
    • Year and Date
      2008-12-16
    • Related Report
      2012 Final Research Report
  • [Presentation] 壁穴を通過する正四面体、およびその高次元版2008

    • Author(s)
      徳重典英
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀)
    • Year and Date
      2008-12-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Reversing a polyhedral surface by origami-deformation2008

    • Author(s)
      H. Maehara
    • Organizer
      Topological Graph Theory Conference
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2008-11-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Convex bodies passing through holes2008

    • Author(s)
      N.Tokushige
    • Organizer
      Kyoto RIMS workshop on computational geometry and disctrete mathematics.
    • Place of Presentation
      京都大学数理解析研究所(京都
    • Year and Date
      2008-10-17
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Convex bodies passing through holes2008

    • Author(s)
      N. Tokushige
    • Organizer
      Kyoto RIMS workshop on computational geometry and disctrete mathematics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-10-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] ミニマルジャグリング2008

    • Author(s)
      徳重典英
    • Organizer
      組合せ論サマースクール2008
    • Place of Presentation
      沖縄健康文化村フェストーネ(沖縄)
    • Year and Date
      2008-09-08
    • Related Report
      2012 Final Research Report
  • [Presentation] ミニマルジヤグリング2008

    • Author(s)
      徳重典英
    • Organizer
      組合せ論サマースクール2008
    • Place of Presentation
      沖縄健康文化村
    • Year and Date
      2008-09-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] A regular tetrahedron passes through a hole smaller than its face2008

    • Author(s)
      N.Tokushige
    • Organizer
      Fete of Combinatorics and Computer Science
    • Place of Presentation
      Keszthely (Hungary)
    • Year and Date
      2008-08-12
    • Related Report
      2012 Final Research Report
  • [Presentation] A regular tetrahedron passes through a hole smaller than its face2008

    • Author(s)
      N. Tokushige
    • Organizer
      Fete of Combinatorics and Computer Science
    • Place of Presentation
      Kezsthely (Hungary)
    • Year and Date
      2008-08-12
    • Related Report
      2008 Annual Research Report
  • [Presentation] From line-systems to sphere-systems2008

    • Author(s)
      H.Maehara
    • Organizer
      Intuitive geometry in Memoriam Laszlo Fejes
    • Place of Presentation
      Renyi Institute, Budapest (Hungary)
    • Year and Date
      2008-07-02
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] From line-systems to sphere-systems2008

    • Author(s)
      H. Maehara
    • Organizer
      Intuitive Geometry in Memoriam Laszlo Fejes
    • Place of Presentation
      Renyi Institute, Budapest
    • Year and Date
      2008-07-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] The ratio bound and intersecting families

    • Author(s)
      Tokushige, Norihide
    • Organizer
      代数的グラフ理論、スペクトラルグラフ理論および周辺領域 , 2013/01/05
    • Place of Presentation
      名古屋大学(名古屋)
    • Related Report
      2012 Annual Research Report
  • [Presentation] グラフの第二固有値とその交差族への応用

    • Author(s)
      Tokushige, Norihide
    • Organizer
      応用数学合同研究集会
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Related Report
      2012 Annual Research Report
  • [Presentation] The eigenvalue method for intersecting families

    • Author(s)
      Tokushige, Norihide
    • Organizer
      The 2nd Japan-Taiwan Conference on Combinatorics and its Applications
    • Place of Presentation
      Nagoya University (Nagoya),
    • Related Report
      2012 Annual Research Report
  • [Presentation] Hoffman's bound for cross intersecting families

    • Author(s)
      Tokushige, Norihide
    • Organizer
      53rd KPPY combinatorics workshop
    • Place of Presentation
      Kyungpook National University (Daegu,Korea)
    • Related Report
      2012 Annual Research Report
  • [Presentation] An optimal coloring from a body of revolution

    • Author(s)
      Tokushige, Norihide
    • Organizer
      ESF research conference on perspectives in discrete mathematics
    • Place of Presentation
      Centre de Recerca Mathematica (Barcelona,Spain)
    • Related Report
      2012 Annual Research Report
  • [Presentation] 多面体の四面体分割

    • Author(s)
      前原濶
    • Organizer
      位相幾何学的グラフ理論研究集会
    • Place of Presentation
      横浜ランドマークタワー18階
    • Related Report
      2012 Annual Research Report
  • [Presentation] 多角形・多面体の分割といろいろな単体

    • Author(s)
      前原濶
    • Organizer
      直観幾何学研究会
    • Place of Presentation
      熊本大学教育学部
    • Related Report
      2012 Annual Research Report
  • [Book] 知っておきたい幾何の定理2011

    • Author(s)
      前原濶、桑田孝泰
    • Total Pages
      167
    • Publisher
      共立出版
    • Related Report
      2012 Final Research Report
  • [Book] 知っておきたい幾何の定理2011

    • Author(s)
      前原濶, 桑田孝泰
    • Total Pages
      167
    • Publisher
      共立出版
    • Related Report
      2011 Annual Research Report

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Published: 2008-04-01   Modified: 2019-07-29  

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