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HIRAGI Akira  平木 彰

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HIRAKI Akira  平木 彰

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Researcher Number 90294181
Other IDs
Affiliation (Current) 2025: 大阪教育大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help 2007 – 2009: Osaka Kyoiku University, 教育学部, 准教授
2001 – 2006: Osaka Kyoiku University, Division of Mathematical Sciences, Associate Professor, 教育学部, 助教授
1997 – 2000: 大阪教育大学, 教育学部, 講師
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
距離正則グラフ / Completely reglar code / Delsarte clique / dual porar graph / Hamming graph / sorongly closed subgraph / distance-regular graph / デザイン / strongly closed subgraph / Completely regular … More / Strongly closed / 代数的組合せ論 / inter section array / diameter / 坂内 伊藤 予想 / Associatial scheme / diameter bound / regular near polygon / 距離正則部分グラフ … More
Except Principal Investigator
dimensional dual hyperoval / radical subgroup / homotopy equivalence / Terwilliger algebra / association scheme / generalized quadrangle / Monster / spin model / q-Onsager algebra / Quantum group / P-and Q-polynomial / Dade conjecture / フィッシャー群 / モンスター / 距離正則グラフ / 一般化された四辺形 / 高次元双対弧 / Dade予想 / semibiplane / Y-family / EGQ / centric / 不足群 / 導来同値 / 森田同値 / デイド予想 / パーフェクトアイソメトリ / ブルーエ予想 / ブロック多元環 / TD-pair / Defect group / Modular representation / Perfect isometry / Cohomology group / Shintani descent / Block algebra / Broue's conjecture / パーフェクト アイソメトリ / 単純群 / シュバレー群 / コホモロジー / モジュラー表現 / コホモロジー群 / 新谷ディセント / subgroup complex / classifying space / Fischer groups / Veronese構成 / 平面関数 / 散在型単純群 / Quillen予想 / ホモトピー同値変形理論 / radical部分群 / シュタイナー系 / homotopy colimit / radical subgroup(根基部分群) / 高次元の双対照卵形 / dimensional dual arc / o-polynomial / Steiner system / Baby Monster / 部分群複体 / 分類空間 / ホモトピー同値変形 / Fischer群 / 根基部分群 / 双対超卵形 / LATTICE / MODULAR FORM / SPIN MODEL / FINITE FIELD / DISTANCE-REGULAR GRAPH / SELF-DUAL CODE / ALGEBRAIC COMBINATORICS / モジュラー形成 / 代数的符号理論 / 格子 / 保型形式 / スピンモデル / 有限体 / 自己双対符号 / 代数的符号 / distance-iegular / TD-pain / cyclotomic scheme / spir model / Jacobi sum / nonthin / Quantum Group / distance-regular / 高次元dual arc / 拡大双対極空間 / GQ / p-centric / 高次元双対超卵型 / O'Nan群 / Dada conjecture / 導来圏 / 加群 / 群論 / P- and Q- polynomial sch / distance-regular graph / P- and Q- polynomial scheme / Askey-Wilson polynomial / Augmented TD-aleebra / TD-algebra / Quantum affine algebra / P- and Q-poly. Scheme / 極値集合 / design / code / Leonard pair / P- and Q-polynomial scheme Less
  • Research Projects

    (9 results)
  • Research Products

    (45 results)
  • Co-Researchers

    (31 People)
  •  Representations of Terwilliger algebras and their applications

    • Principal Investigator
      ITO Tatsuro
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kanazawa University
  •  Structure of the derived categories of block algebras with non-commutative defect groups

    • Principal Investigator
      UNO Katsuhiro
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University
  •  Structure of subgraphs in a distance-regular graphPrincipal Investigator

    • Principal Investigator
      HIRAKI Akira
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka Kyoiku University
  •  距離正則グラフの構造論Principal Investigator

    • Principal Investigator
      平木 彰
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka Kyoiku University
  •  Applications of Cohomology groups and Shintani descent to Broue's conjecture

    • Principal Investigator
      UNO Katsuhiro
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University
      Osaka University
  •  Homotopy equivalence and characterizations of subgroup complexes

    • Principal Investigator
      YOSHIARA Satoshi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Woman's Christian University
      Osaka Kyoiku University
  •  ALGEBRAIC CODING THEORY, COMBINATORIAL DESIGNS AND ASSOCIATION SCHEMES

    • Principal Investigator
      MUNEMASA Akihiro
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      TOHOKU UNIVERSITY
      Kyushu University
  •  Representations of TerwiUiger algebras and their applications

    • Principal Investigator
      ITO Tatsuro
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kanazawa University
  •  The inner meaning and classification of simplicial complexes admitting actions of groups

    • Principal Investigator
      YOSHIARA Satoshi
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Kyoiku University

All 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] A Characterization of the Hamming graphs by strongly closed subgraphs2008

    • Author(s)
      A. HIRAKI
    • Journal Title

      European Journal of Combinatorics, 29 no. 1

      Pages: 1603-1616

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A characterization of the Hamming graph by strongly closed subgraphs2008

    • Author(s)
      A. Hiraki
    • Journal Title

      European Journal of Combinatorics (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Strongly closed subgraphs in a distance-regular graphwith c_2>12008

    • Author(s)
      Akira HIRAKI
    • Journal Title

      Graphs and Combinatorics 24

      Pages: 537-550

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Strongly closed subgraphs in a distance-regular graph with c_2 > 12008

    • Author(s)
      A. HIRAKI
    • Journal Title

      Graphs and Combinatorics 24 no. 6

      Pages: 537-550

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A characterization of some distance-regular graphs bystrongly closed subgraphs2008

    • Author(s)
      Akira HIRAKI
    • Journal Title

      European Journal of Combinatorics 30

      Pages: 893-907

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A characterization of the Hamming graph by strongly closed subgraphs2008

    • Author(s)
      Akira HIRAKI
    • Journal Title

      European Journal of Combinatorics 29

      Pages: 1603-1616

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A characterization of the Odd graphs and the doubled Odd graphs with a few of their intersection numbers2007

    • Author(s)
      Akira Hiraki
    • Journal Title

      European J. Combin. 28, no1

      Pages: 246-257

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] A characterization of the Odd graphs and the doubled Odd graphs with a few of their intersection numbers2007

    • Author(s)
      A.Hiraki
    • Journal Title

      European J. Combin 28・1

      Pages: 246-257

    • Data Source
      KAKENHI-PROJECT-18540031
  • [Journal Article] Delsarte clique graphs2007

    • Author(s)
      S. BANG, A. HIRAKI, J. KOOLEN
    • Journal Title

      European Journal of Combinatorics, 28 no. 2

      Pages: 501-516

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A Characterization of the Odd graphs and doubled Odd graphs with a few of thier intersection numbers2007

    • Author(s)
      A. HIRAKI
    • Journal Title

      European Journal of Combinatorics, 28 no. 1

      Pages: 246-257

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Delsarte clique graphs2007

    • Author(s)
      S.Bang, A.Hiraki, J.Koolen
    • Journal Title

      European Journal of Combinatorics 28・no 2

      Pages: 501-516

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A characterization of the Odd graphs and the doubled Odd graphs with a few of their intersection numbers2007

    • Author(s)
      A.Hiraki
    • Journal Title

      European Journal of Combinatorics 28・no 1

      Pages: 246-257

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Delsarte clique graphs2007

    • Author(s)
      Akira Hiraki
    • Journal Title

      European J. Combin. (with S. Bang and J. Koolen). 28, no2

      Pages: 501-506

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Improving diameter bounds for distance-regular graphs2006

    • Author(s)
      Bang S., Hiraki Akira, Koolen Jack
    • Journal Title

      European J.Combinatorics 27・1

      Pages: 79-89

    • Data Source
      KAKENHI-PROJECT-14340012
  • [Journal Article] Improving diameter bound for distance-regular graphs2006

    • Author(s)
      S.Bang, A.Hiraki, J.Koolen
    • Journal Title

      European Journal of Combinatorics 27

      Pages: 79-89

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Improving diameter bounds for distance-regular graphs2006

    • Author(s)
      Akira Hiraki
    • Journal Title

      Eu-ropean J. Combin. (with S. Bang and J. Koolen). 27, no1

      Pages: 79-89

    • Data Source
      KAKENHI-PROJECT-18340022
  • [Journal Article] Improving diameter bounds for distance-regular graphs2006

    • Author(s)
      S.Bang, A.Hiraki, J.Koolen
    • Journal Title

      European Journal of Combinatorics 27・no 1

      Pages: 78-89

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Improving diameter bounds for distance-regular graphs2006

    • Author(s)
      S. BANG, A. HIRAKI, J. KOOLEN
    • Journal Title

      European Journal of Combinatorics, 27 no. 1

      Pages: 79-89

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Application of the retracing method for distance-regular graphs2005

    • Author(s)
      A. HIRAKI
    • Journal Title

      European Journal of Combinatorics 26 no. 5

      Pages: 717-727

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Applications of the retracing method for distance-regular graphs2005

    • Author(s)
      A.Hiraki
    • Journal Title

      European J.Combin 26

      Pages: 717-727

    • Data Source
      KAKENHI-PROJECT-14740072
  • [Journal Article] A generalization of an inequality of Brouwer-Wilbrink2005

    • Author(s)
      A. HIRAKI, J. KOOLEN
    • Journal Title

      Journal of Combinatorial Theory Ser. A 109 no. 1

      Pages: 181-188

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] A generalization of an inequality of Brouwer-Wilbrink2005

    • Author(s)
      Hiraki Akira, Koolen Jack
    • Journal Title

      J.Combinatorial Theory, Ser A 109・1

      Pages: 181-188

    • Data Source
      KAKENHI-PROJECT-14340012
  • [Journal Article] Application of the retracing method for distance-regular graphs2005

    • Author(s)
      A.Hiraki
    • Journal Title

      European Journal of Combinatorics 26

      Pages: 717-727

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Applications of the retracing method for distance-regular graphs2005

    • Author(s)
      Hiraki Akira
    • Journal Title

      European J.Combinatorics 26・5

      Pages: 717-727

    • Data Source
      KAKENHI-PROJECT-14340012
  • [Journal Article] The regular near polygons of order (s,2)2004

    • Author(s)
      A.Hiraki, J.Koolen
    • Journal Title

      J.Algebraic.Combin. 20

      Pages: 219-235

    • Data Source
      KAKENHI-PROJECT-14740072
  • [Journal Article] A generalization of an inequality of Brouwer-Wilbrink2004

    • Author(s)
      A.Hiraki, J.Koolen
    • Journal Title

      J.Combin Theory Ser A 109

      Pages: 181-188

    • Data Source
      KAKENHI-PROJECT-14740072
  • [Journal Article] A note on regular near polygons2004

    • Author(s)
      A.Hiraki, J.I Koolen
    • Journal Title

      Graphs and Combin 20

      Pages: 485-497

    • Data Source
      KAKENHI-PROJECT-14740072
  • [Journal Article] A Higman-Haemers inequality for thick regular near polygons2004

    • Author(s)
      A.Hiraki, J.Koolen
    • Journal Title

      J.Algebraic.Combin. 20

      Pages: 213-218

    • Data Source
      KAKENHI-PROJECT-14740072
  • [Journal Article] A Higman-Haemers inequality for thick regular near polygons2004

    • Author(s)
      Hiraki Akira, Koolen Jack
    • Journal Title

      Journal of Algebraic Combinatorics 20・2

      Pages: 213-218

    • Data Source
      KAKENHI-PROJECT-14340012
  • [Journal Article] The regular polygons of order(S,2)2004

    • Author(s)
      Hiraki Akira, Koolen Jack
    • Journal Title

      Journal of Algebraic Combinatorics 20・2

      Pages: 219-235

    • Data Source
      KAKENHI-PROJECT-14340012
  • [Journal Article] A characterization of the Hamming graph by strongly closed subgraphs

    • Author(s)
      A. Hiraki
    • Journal Title

      European Journal of Combinatorics, (掲載予定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Delsarte clique graphs

    • Author(s)
      S.Bang, A.Hiraki, J.Koolen
    • Journal Title

      European Journal of Combinatorics (発行確定)

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Journal Article] Improving diameter bounds for distance-regular graphs

    • Author(s)
      S.Bang, A.Hiraki, J.Koolen
    • Journal Title

      European J.Combin

    • Data Source
      KAKENHI-PROJECT-14740072
  • [Journal Article] A Characterization of the Odd graphs and the doubled Odd graphs with few of their intersection numbers

    • Author(s)
      A.Hiraki
    • Journal Title

      European Journal of Combinatorics (発行確定)

    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] 6th Korea-Japan Workshop on Algebra and Combinatorics2009

    • Author(s)
      A. HIRAKI
    • Place of Presentation
      釜山国立大学
    • Year and Date
      2009-02-10
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] Completely regular subgraphs in distance-regular graphs2009

    • Author(s)
      Akira HIRAKI
    • Organizer
      Korea-Japan Workshop on Algebra andCombinatorics
    • Place of Presentation
      釜山国立大学(韓国)
    • Year and Date
      2009-02-10
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation]2008

    • Author(s)
      平木 彰
    • Organizer
      第25回代数的組合せ論研究集会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-06-23
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] Fourth Korea-Japan Workshop on Algebra and Combinatorics2008

    • Author(s)
      A. HIRAKI
    • Place of Presentation
      POSTECH
    • Year and Date
      2008-02-02
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] Distance-regular graph with c_{2}>1 and a_{1}=0<a_{2}2008

    • Author(s)
      A. Hiraki
    • Organizer
      Fourth Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      POSTHCH(韓国)
    • Year and Date
      2008-02-02
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] Completely regular subgraphs in distance-regular graphs2008

    • Author(s)
      Akira HIRAKI
    • Organizer
      第25回代数的組合せ論研究集会
    • Place of Presentation
      北海道大学
    • Year and Date
      2008-06-23
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] Distance-regular graph with c_2 > 1 and a_1 = 0 < a_22008

    • Author(s)
      平木 彰
    • Organizer
      Fourth Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      POSTHCH
    • Year and Date
      2008-02-02
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] A characterization of some distance-regular graPhs by strongly closed subgraphs2007

    • Author(s)
      平木 彰
    • Organizer
      代数的組合せ論研究集会
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-30
    • Data Source
      KAKENHI-PROJECT-18340022
  • [Presentation] A characterization of the Hamming graph by strongly closed subgraphs2007

    • Author(s)
      平木 彰
    • Organizer
      第24回代数的組合せ論シンポジウム
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-30
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation]2007

    • Author(s)
      平木 彰
    • Organizer
      第24回代数的組合せ論研究集会
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-30
    • Data Source
      KAKENHI-PROJECT-17540114
  • [Presentation] Albebraic Combinatrics2006

    • Author(s)
      A. HIRAKI
    • Organizer
      An International Conference in Honour of Eiichi Bannai's 60th birthday
    • Place of Presentation
      Sendai International Center
    • Year and Date
      2006-06-26
    • Data Source
      KAKENHI-PROJECT-17540114
  • 1.  YOSHIARA Satoshi (10230674)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  ITO Tatsuro (90015909)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  MUNEMASA Akihiro (50219862)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  NOMURA Kazumasa (40111645)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  BABA Yoshitomo (10201724)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  UNO Katsuhiro (70176717)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  WAKI Katsushi (30250591)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  KUNUGI Naoko (50362306)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  HIDA Akihiko (50272274)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  SUZUKI Hiroshi (10135767)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  TANABE Kenichiro (10334038)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  KAWAGOE Kenichi (50293337)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  ASASHIBA Hideto (70175165)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  KITAMURA Kazuo (30030381)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  NAKAGAWA Nobuo (10088403)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  YAMADA Mieko (70130226)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  URAKAWA Hajime (50022679)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  BANNAI Etsuko (00253394)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  HARADA Masaaki (90292408)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  KOBAYASHI Kazuaki (50031323)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  OYAMA Nobuyuki (80223981)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  YAMASHIMA Shigeho (80086347)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  ISHIWATA Makiko (80277095)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  SUGIYAMA Masumi (30086368)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KAWANAKA Noriaki (10028219)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  奥山 哲郎 (60128733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  河合 浩明 (10222431)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  宇佐美 陽子 (90151993)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  和久井 道久 (60252574)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  越谷 重夫 (30125926)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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