Tanaka Hajime 田中太初

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TANAKA Hajime 田中太初

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Researcher Number	50466546
Other IDs	https://orcid.org/0000-0002-5958-0375
Affiliation (Current)	2025: 東北大学, 情報科学研究科, 教授
Affiliation (based on the past Project Information) *help	2012 – 2023: 東北大学, 情報科学研究科, 准教授 2012: 東北大学, 大学院・情報科学研究科, 准教授 2011: 東北大学, 情報科学研究科, 助教 2008 – 2010: Tohoku University, 大学院・情報科学研究科, 助教
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Basic Section 11010:Algebra-related Except Principal Investigator Basic Section 12010:Basic analysis-related / Foundations of mathematics/Applied mathematics
Keywords	Principal Investigator 距離正則グラフ / アソシエーションスキーム / Terwilliger 代数 / 直交多項式 / 代数的組合せ論 / グラフのスペクトル / 半正定値計画法 / デザイン / 量子探索アルゴリズム / 量子ウォーク … More / 半正定値計画 / Terwilliger代数 / 組合せデザイン / 符号 / 極値集合論 / エルデシュ・コ・ラド型定理 / シューベルト胞体 / ダブルアフィンへッケ環 / ダブルアフィンヘッケ環 / 強正則グラフ / 量子確率論 / 量子中心極限定理 / 代数学 / 交差定理 / 交叉定理 / デザイン理論 / 観測装置開発 / 光学赤外線天文学 / ターウィリガー代数 … More Except Principal Investigator 代数的組合せ論 / 量子ホワイトノイズ / グラフスペクトル / ネットワーク数理 / 直交多項式 / 漸近的組合せ論 / スペクトル解析 / 量子確率論 / 代数的グラフ理論 / 代数的整数 / 多項式 / スペクトラルグラフ理論 / 代数構造 / 固有値 / グラフ Less

Developments of research on graphs by representations of noncommutative algebrasPrincipal Investigator
- Principal Investigator
  
  田中太初
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University
Algebraic combinatorics and its ties with other areasPrincipal Investigator
- Principal Investigator
  
  Tanaka Hajime
- Project Period (FY)
  2020 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University
Quantum probability and asymptotic analysis of large finite systems
- Principal Investigator
  
  Obata Nobuaki
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Tohoku University
Algebraic and combinatorial study of Schubert cells and Schubert varietiesPrincipal Investigator
- Principal Investigator
  
  田中太初
- Project Period (FY)
  2019 – 2020
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University
Development of the algebraic study of graphsPrincipal Investigator
- Principal Investigator
  
  Tanaka Hajime
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
距離正則グラフの一般化されたターウィリガー代数とダブルアフィンヘッケ環Principal Investigator
- Principal Investigator
  
  田中太初
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
A comprehensive study of combinatorial objects by algebraic methodsPrincipal Investigator
- Principal Investigator
  
  TANAKA Hajime
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
A elucidation of the structure of graphs by Algebraic Graph Theory and Spectral Graph Theory
- Principal Investigator
  
  Taniguchi Tetsuji
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Hiroshima Institute of Technology
  Matsue National College of Technology
Representations of association schemes and their applicationsPrincipal Investigator
- Principal Investigator
  
  TANAKA Hajime
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Algebraic theory of codes and designs based on the Terwilliger algebraPrincipal Investigator
- Principal Investigator
  
  TANAKA Hajime
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University

[Journal Article] Characterizing graphs with fully positive semidefinite Q-matrices2023
- Author(s)
  Hajime Tanaka
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 671 Pages: 59-66
- DOI
  10.1016/j.laa.2023.04.018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03551
[Journal Article] A duality of scaffolds for translation association schemes2022
- Author(s)
  Xiaoye Liang, Ying-Ying Tan, Hajime Tanaka, Tao Wang
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 638 Pages: 110-124
- DOI
  10.1016/j.laa.2021.12.018
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551
[Journal Article] Spatial search on Johnson graphs by continuous-time quantum walk2022
- Author(s)
  Hajime Tanaka, Mohamed Sabri, Renato Portugal
- Journal Title
  
  Quantum Information Processing
  
  Volume: 21 Issue: 2 Pages: 74-74
- DOI
  10.1007/s11128-022-03417-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551
[Journal Article] Spatial search on Johnson graphs by discrete-time quantum walk2022
- Author(s)
  Hajime Tanaka, Mohamed Sabri, Renato Portugal
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 55 Issue: 25 Pages: 255304-255304
- DOI
  10.1088/1751-8121/ac6f30
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551
[Journal Article] Scaling limits for the Gibbs states on distance-regular graphs with classical parameters2021
- Author(s)
  Masoumeh Koohestani, Nobuaki Obata, Hajime Tanaka
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 17 Pages: 104-104
- DOI
  10.3842/sigma.2021.104
- NAID
  40022686657
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551, KAKENHI-PROJECT-19H01789
[Journal Article] The Terwilliger algebra of the twisted Grassmann graph: the thin case2020
- Author(s)
  Hajime Tanaka and Tao Wang
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: 27 Issue: 4
- DOI
  10.37236/9873
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03551
[Journal Article] Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier-Hermite polynomials2020
- Author(s)
  John Vincent S. Morales, Nobuaki Obata, and Hajime Tanaka
- Journal Title
  
  Colloquium Mathematicum
  
  Volume: 162 Issue: 1 Pages: 1-22
- DOI
  10.4064/cm7724-7-2019
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156, KAKENHI-PROJECT-19H01789
[Journal Article] The independence number of the orthogonality graph in dimension 2^k2019
- Author(s)
  Ferdinand Ihringer and Hajime Tanaka
- Journal Title
  
  Combinatorica
  
  Volume: 39 Issue: 6 Pages: 1425-1428
- DOI
  10.1007/s00493-019-4134-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156
[Journal Article] Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual q-Krawtchouk polynomials2018
- Author(s)
  Jae-Ho Lee and Hajime Tanaka
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 14 Pages: 009-009
- DOI
  10.3842/sigma.2018.009
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156
[Journal Article] A semidefinite programming approach to a cross-intersection problem with measures2017
- Author(s)
  Sho Suda, Hajime Tanaka, Norihide Tokushige
- Journal Title
  
  Mathematical Programming
  
  Volume: 印刷中 Issue: 1-2 Pages: 113-130
- DOI
  10.1007/s10107-016-1106-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400034, KAKENHI-PROJECT-25287031
[Journal Article] Design theory from the viewpoint of algebraic combinatorics2017
- Author(s)
  Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu
- Journal Title
  
  Graphs and Combinatorics
  
  Volume: 33 Issue: 1 Pages: 1-41
- DOI
  10.1007/s00373-016-1739-2
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] Arithmetic completely regular codes2016
- Author(s)
  Jack H. Koolen, Woo Sun Lee, William J. Martin, Hajime Tanaka
- Journal Title
  
  Discrete Mathematics & Theoretical Computer Science
  
  Volume: 17 Pages: 59-76
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] Distance-regular graphs2016
- Author(s)
  Edwin R. van Dam, Jack H. Koolen, Hajime Tanaka
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: －
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] Appendix: On some Gelfand pairs and commutative association schemes2015
- Author(s)
  Eiichi Bannai, Hajime Tanaka
- Journal Title
  
  Japanese Journal of Mathematics
  
  Volume: 10 Issue: 1 Pages: 97-104
- DOI
  10.1007/s11537-014-1391-7
- NAID
  210000160390
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] On relative t-designs in polynomial association schemes2015
- Author(s)
  Eiichi Bannai, Etsuko Bannai, Sho Suda, Hajime Tanaka
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: 22
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] A cross-intersection theorem for vector spaces based on semidefinite programming2014
- Author(s)
  Sho Suda, Hajime Tanaka
- Journal Title
  
  Bulletin of the London Mathematical Society
  
  Volume: 46 Issue: 2 Pages: 342-348
- DOI
  10.1112/blms/bdt101
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] The Erdos-Ko-Rado basis for a Leonard system2013
- Author(s)
  Hajime Tanaka
- Journal Title
  
  Contributions to Discrete Mathematics
  
  Volume: 8 Pages: 41-59
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400034
[Journal Article] The Erdos-Ko-Rado theorem for twisted Grassmann graphs2012
- Author(s)
  Hajime Tanaka
- Journal Title
  
  Combinatorica
  
  Volume: 32 Issue: 6 Pages: 735-740
- DOI
  10.1007/s00493-012-2798-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740002
[Journal Article] A Note on Super Catalan Numbers2012
- Author(s)
  Evangelos Georgiadis, Akihiro Munemasa, Hajime Tanaka
- Journal Title
  
  IIS
  
  Volume: 18 Issue: 1 Pages: 23-24
- DOI
  10.4036/iis.2012.23
- NAID
  110009795169
- ISSN
  1340-9050, 1347-6157
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740002
[Journal Article] Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes2011
- Author(s)
  Hajime Tanaka, Rie Tanaka
- Journal Title
  
  European Journal of Combinatorics
  
  Volume: 32 Pages: 155-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes2011
- Author(s)
  田中太初, 田中利恵
- Journal Title
  
  European Journal of Combinatorics, Elsevier 32巻,2号
  
  Pages: 155-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs2011
- Author(s)
  Hajime Tanaka
- Journal Title
  
  The Electronic Journal of Combinatorics
  
  Volume: 18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740002
[Journal Article] Finite Euclidean graphs and Ramanujan graphs2009
- Author(s)
  坂内英一, 島袋修, 田中太初
- Journal Title
  
  Discrete Mathematics, Elsevier 309巻,20号
  
  Pages: 6126-6134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] A note on the span of Hadamard products of vectors2009
- Author(s)
  Hajime Tanaka
- Journal Title
  
  Linear Algebra and its Applications 430
  
  Pages: 865-867
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] Commutative association schemes2009
- Author(s)
  William J.Martin, 田中太初
- Journal Title
  
  European Journal of Combinatorics, Elsevier 30巻,6号
  
  Pages: 1497-1525
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] A bilinear form relating two Leonard systems2009
- Author(s)
  田中太初
- Journal Title
  
  Linear Algebra and its Applications, Elsevier 431巻,10号
  
  Pages: 1726-1739
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] A bilinear form relating two Leonard systems2009
- Author(s)
  Hajime Tanaka
- Journal Title
  
  Linear Algebra and its Applications 431
  
  Pages: 1726-1739
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] Finite Euclidean graphs and Ramanujan graphs2009
- Author(s)
  Eiichi Bannai, Osamu Shimabukuro, Hajime Tanaka
- Journal Title
  
  Discrete Mathematics 309
  
  Pages: 6126-6134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra2009
- Author(s)
  田中太初
- Journal Title
  
  European Journal of Combinatorics, Elsevier 30巻,3号
  
  Pages: 736-746
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] Commutative association schemes2009
- Author(s)
  William J. Martin, Hajime Tanaka
- Journal Title
  
  European Journal of Combinatorics (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] Commutative association schemes2009
- Author(s)
  William J.Martin, Hajime Tanaka
- Journal Title
  
  European Journal of Combinatorics 30
  
  Pages: 1497-1525
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] A note on the span of Hadamard products of vectors2009
- Author(s)
  田中太初
- Journal Title
  
  Linear Algebra and its Applications, Elsevier 430巻,2/3号
  
  Pages: 865-867
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Journal Article] New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra2009
- Author(s)
  Hajime Tanaka
- Journal Title
  
  European Journal of Combinatorics 30
  
  Pages: 736-746
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] The element distinctness problem revisited2023
- Author(s)
  Hajime Tanaka
- Organizer
  10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 TOKYO)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03064
[Presentation] Characterizing graphs with fully positive semidefinite Q-matrices2022
- Author(s)
  田中太初
- Organizer
  RIMS共同研究 (公開型)「有限群論, 代数的組合せ論, 頂点代数の研究」
- Data Source
  KAKENHI-PROJECT-20K03551
[Presentation] Spatial search on Johnson graphs by discrete-time quantum walk2022
- Author(s)
  Hajime Tanaka
- Organizer
  Workshop on Algebraic Combinatorics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551
[Presentation] 量子ウォークに基づく Johnson グラフ上の探索アルゴリズム2022
- Author(s)
  田中太初
- Organizer
  代数学の広がり
- Data Source
  KAKENHI-PROJECT-20K03551
[Presentation] Scaling limits for the Gibbs states on distance-regular graphs with classical parameters2022
- Author(s)
  Hajime Tanaka
- Organizer
  The 19th Workshop: Noncommutative Probability, Noncommutative Harmonic Analysis and Related Topics, with Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551
[Presentation] Spatial search on Johnson graphs by continuous-time quantum walk2021
- Author(s)
  Hajime Tanaka
- Organizer
  Workshop on Algebraic Graph Theory and Quantum Information
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03551
[Presentation] Scaling limits for the Gibbs states on distance-regular graphs with classical parameters2020
- Author(s)
  田中太初
- Organizer
  RIMS 共同研究 (公開型) 「有限群論, 代数的組合せ論, 頂点代数の研究」
- Data Source
  KAKENHI-PROJECT-20K03551
[Presentation] The independence number of the orthogonality graph in dimension 2^k2019
- Author(s)
  Hajime Tanaka
- Organizer
  Frontiers in Mathematical Science Research Workshop
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials2019
- Author(s)
  田中太初
- Organizer
  RIMS 共同研究 (公開型) 「代数的組合せ論と関連する群と代数の研究」
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials2019
- Author(s)
  Hajime Tanaka
- Organizer
  Special Session on Association Schemes and Related Topics - in Celebration of J.D.H. Smith's 70th Birthday, AMS Fall Central Sectional Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] 距離正則グラフの Terwilliger 代数の拡張について2018
- Author(s)
  田中太初
- Organizer
  第63回代数学シンポジウム
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] Current progress in the Delsarte theory2018
- Author(s)
  Hajime Tanaka
- Organizer
  International Workshop on Algebraic Combinatorics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] The Terwilliger algebra with respect to an edge of a bipartite 2-homogeneous distance-regular graph2018
- Author(s)
  田中太初
- Organizer
  Hakata Workshop Summer Meeting 2018
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] Asymptotic spectral distributions for Cartesian powers of strongly regular graphs and bivariate Charlier-Hermite polynomials2017
- Author(s)
  田中太初
- Organizer
  スペクトラルグラフ理論および周辺領域第6回研究集会
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] Association schemes and orthogonal polynomials2017
- Author(s)
  Hajime Tanaka
- Organizer
  International Workshop on Bannai-Ito Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05156
[Presentation] On tight relative t-designs in hypercubes2016
- Author(s)
  Hajime Tanaka
- Organizer
  Mini-Symposium: Hadamard Matrices and Combinatorial Designs, The Japanese Conference on Combinatorics and its Applications (JCCA 2016)
- Place of Presentation
  京都大学 (京都市)
- Year and Date
  2016-05-24
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] An Assmus-Mattson theorem for codes over commutative association schemes2016
- Author(s)
  Hajime Tanaka
- Organizer
  研究集会「実験計画法と符号および関連する組合せ構造」
- Place of Presentation
  秋保リゾートホテルクレセント (仙台市)
- Year and Date
  2016-11-28
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] A semidefinite programming approach to a cross-intersection problem with measures2015
- Author(s)
  田中太初
- Organizer
  第32回代数的組合せ論シンポジウム
- Place of Presentation
  金沢大学 (金沢市)
- Year and Date
  2015-06-22
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] A semidefinite programming approach to a cross-intersection problem with measures2015
- Author(s)
  Hajime Tanaka
- Organizer
  Systems of Lines: Applications of Algebraic Combinatorics
- Place of Presentation
  Worcester Polytechnic Institute, Worcester, MA, USA
- Year and Date
  2015-08-13
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] Delsarte 理論入門2014
- Author(s)
  田中太初
- Organizer
  代数的組合せ論「夏の学校 2014」
- Place of Presentation
  秋保リゾートホテルクレセント
- Year and Date
  2014-06-16
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] The Terwilliger algebra of a Q-polynomial distance-regular graph with respect to a set of vertices2014
- Author(s)
  Hajime Tanaka
- Organizer
  Algebraic Combinatorics Workshop
- Place of Presentation
  University of Science and Technology of China, Hefei, China
- Year and Date
  2014-11-29
- Invited
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] A cross-intersection theorem for vector spaces based on semidefinite programming2013
- Author(s)
  Hajime Tanaka
- Organizer
  8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
- Place of Presentation
  Veszprem, Hungary
- Invited
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Extending the Erdos-Ko-Rado theorem2012
- Author(s)
  田中太初
- Organizer
  研究集会「有限群とその表現,頂点作用素代数,組合せ論の研究」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-03-07
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Extending the Erdos-Ko-Rado theorem, 2012 Shanghai Conference on Algebraic Combinatorics2012
- Author(s)
  田中太初
- Organizer
  上海交通大学
- Place of Presentation
  上海, 中国
- Year and Date
  2012-08-20
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Extending the Erdos-Ko-Rado theorem2012
- Author(s)
  田中太初
- Organizer
  The 5th International Workshop on Optimal Network Topologies, Institut Teknologi Bandung
- Place of Presentation
  Bandung, インドネシア
- Year and Date
  2012-07-27
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] The Erdos-Ko-Rado theorem for twisted Grassmann graphs, The 10th Korea-Japan Workshop on Algebra and Combinatorics2012
- Author(s)
  田中太初
- Organizer
  浦項工科大学
- Place of Presentation
  浦項,韓国
- Year and Date
  2012-01-26
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Terwilliger代数の応用2012
- Author(s)
  田中太初
- Organizer
  柏崎数学セミナー
- Place of Presentation
  新潟工科大学
- Year and Date
  2012-08-09
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] 代数的組合せ論に於ける半正定値計画の応用2011
- Author(s)
  田中太初
- Organizer
  第23回RAMPシンポジウム
- Place of Presentation
  関西大学
- Year and Date
  2011-10-24
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs2011
- Author(s)
  田中太初
- Organizer
  Linear Algebra Techniques in Combinatorics/Graph Theory
- Place of Presentation
  The Banff Centre, Banff, Alberta, カナダ
- Year and Date
  2011-02-02
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs2011
- Author(s)
  田中太初
- Organizer
  Mini Workshop
- Place of Presentation
  Texas 大学Brownsville 校,Brownsville, Texas, 米国
- Year and Date
  2011-02-11
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] A note on super Catalan numbers2011
- Author(s)
  Hajime Tanaka
- Organizer
  Combinatorics Seminar
- Place of Presentation
  University of Wisconsin-Madison,米国
- Year and Date
  2011-01-24
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs2011
- Author(s)
  Hajime Tanaka
- Organizer
  Mini Workshop
- Place of Presentation
  University of Texas at Brownsville,米国
- Year and Date
  2011-02-11
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs2011
- Author(s)
  田中太初
- Organizer
  Geometric and Algebraic Combinatoris 5, Hotel Conferentiecentrum Boschoord
- Place of Presentation
  Oisterwijk, オランダ
- Year and Date
  2011-08-17
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] A note on super Catalan numbers2011
- Author(s)
  田中太初
- Organizer
  Combinatorics Seminar
- Place of Presentation
  Wisconsin 大学Madison 校, Madison, WI,米国
- Year and Date
  2011-01-24
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs2011
- Author(s)
  Hajime Tanaka
- Organizer
  Linear Algebra Techniques in Combinatorics/Graph Theory
- Place of Presentation
  The Banff Centre, Banff, Alberta, Canada
- Year and Date
  2011-02-02
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Subsets with minimal width and dual width in Q-polynomial distance-regular graphs2010
- Author(s)
  Hajime Tanaka
- Organizer
  Combinatorics Seminar
- Place of Presentation
  University of Wisconsin-Madison,米国
- Year and Date
  2010-10-25
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Subsets with minimal width and dual width in Q-polynomial distance-regular graphs2010
- Author(s)
  田中太初
- Organizer
  Combinatorics Seminar
- Place of Presentation
  Wisconsin 大学Madison 校, Madison, WI, 米国
- Year and Date
  2010-10-25
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] The Terwilliger algebra of a graph2009
- Author(s)
  田中太初
- Organizer
  松江セミナー
- Place of Presentation
  松江大学
- Year and Date
  2009-09-09
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] A bilinear form relating two Leonard systems2009
- Author(s)
  田中太初
- Organizer
  Combinatorics Seminar
- Place of Presentation
  Wisconsin 大学Madison 校,Madison, WI, 米国
- Year and Date
  2009-04-20
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Dual-tight com etric association schemes2009
- Author(s)
  田中太初
- Organizer
  ミニ集会「代数的組合せ論」
- Place of Presentation
  福岡
- Year and Date
  2009-03-18
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] 具体例に於けるTerwilliger代数の既約加群の計算2009
- Author(s)
  田中太初
- Organizer
  小研究集会「有限幾何とその周辺」
- Place of Presentation
  東京女子大学
- Year and Date
  2009-08-07
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Dual tight cometric association schemes2009
- Author(s)
  須田庄, 田中太初, 田中利恵
- Organizer
  AMS 2009 Eastern Section Meeting
- Place of Presentation
  Worcester 工芸大学, Worcester, MA, 米国
- Year and Date
  2009-04-26
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Dual tight cometric association schemes2009
- Author(s)
  田中太初
- Organizer
  AMS 2009 Eastern Section Meeting
- Place of Presentation
  Worcester Polytechnic Institute, USA
- Year and Date
  2009-04-26
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] A bilinear form relating two Leonard systems2009
- Author(s)
  田中太初
- Organizer
  Combinatorics Seminar
- Place of Presentation
  Department of Mathematics, University of Wisconsin, USA
- Year and Date
  2009-04-20
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Z_4-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets2009
- Author(s)
  田中太初
- Organizer
  夏の学校「Designs and Codes」
- Place of Presentation
  ヒルズサンピア山形
- Year and Date
  2009-06-23
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] 具体例に於ける Terwilliger 代数の既約加群の計算2009
- Author(s)
  田中太初
- Organizer
  小研究集会「有限幾何とその周辺」
- Place of Presentation
  東京女子大学
- Year and Date
  2009-08-07
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Dual-tight cometric association schemes2009
- Author(s)
  須田庄, 田中太初
- Organizer
  ミニ集会「代数的組合せ論」
- Place of Presentation
  九州大学
- Year and Date
  2009-03-18
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Z_4-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets2009
- Author(s)
  田中太初
- Organizer
  夏の学校「Designs and Codea」
- Place of Presentation
  ヒルズサンピア山形
- Year and Date
  2009-06-23
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] A bilinear form relating two Leonard pairs and its applications2008
- Author(s)
  田中太初
- Organizer
  Geometric and Algebraic Combinatoris 4, Hotel Conferentiecentrum Boschoord
- Place of Presentation
  Oisterwijk, オランダ
- Year and Date
  2008-08-20
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] A bilinear form relating two Leonard pairs and its applications2008
- Author(s)
  Hajime Tanaka
- Organizer
  Geometric and Algebraic Combinatoris 4
- Place of Presentation
  Oisterwijk, The Netherlands
- Year and Date
  2008-08-20
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] The nucleus of a Q-polynomial distance-regular graph2008
- Author(s)
  Hajime Tanaka
- Organizer
  The 5th Japan-Korea Workshop on Algebra and Combinatorics
- Place of Presentation
  福岡
- Year and Date
  2008-09-19
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] The nucleus of a Q-polynomial distance-regular graph2008
- Author(s)
  田中太初
- Organizer
  The 5th Japan-Korea Workshop on Algebra and Combinatorics
- Place of Presentation
  九州大学
- Year and Date
  2008-09-19
- Data Source
  KAKENHI-PROJECT-20740003
[Presentation] Extending the Erdos-Ko-Rado theorem
- Author(s)
  田中太初
- Organizer
  RIMS 研究集会「有限群とその表現, 頂点作用素代数, 組合せ論の研究」
- Place of Presentation
  京都
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] 代数的組合せ論に於ける半正定値計画の応用
- Author(s)
  田中太初
- Organizer
  第23回RAMPシンポジウム
- Place of Presentation
  吹田
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Introduction to the theory of distance-regular graphs
- Author(s)
  Hajime Tanaka
- Organizer
  International Joint Research Week on Non-Commutative Stochastic Systems: Analysis, Modelling, and Applications
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] A cross-intersection theorem for vector spaces based on semidefinite programming
- Author(s)
  田中太初
- Organizer
  第30回代数的組合せ論シンポジウム
- Place of Presentation
  静岡大学
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] The Erdos-Ko-Rado theorem for twisted Grassmann graphs
- Author(s)
  Hajime Tanaka
- Organizer
  The 10th Korea-Japan Workshop on Algebra and Combinatorics
- Place of Presentation
  浦項, 韓国
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] Extending the Erdos-Ko-Rado theorem
- Author(s)
  Hajime Tanaka
- Organizer
  The 5th International Workshop on Optimal Network Topologies
- Place of Presentation
  Institut Teknologi Bandung, Bandung, Indonesia
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] A cross-intersection theorem for vector spaces based on semidefinite programming
- Author(s)
  Hajime Tanaka
- Organizer
  8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications
- Place of Presentation
  Pannon Egyetem, Veszprem, Hungary
- Invited
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] Extending the Erdos-Ko-Rado theorem
- Author(s)
  Hajime Tanaka
- Organizer
  2012 Shanghai Conference on Algebraic Combinatorics
- Place of Presentation
  Shanghai Jiao Tong University, Shanghai, China
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] A cross-intersection theorem for vector spaces based on semidefinite programming
- Author(s)
  田中太初
- Organizer
  離散数学とその応用研究集会2013
- Place of Presentation
  山形市保健センター
- Data Source
  KAKENHI-PROJECT-25400034
[Presentation] Vertex subsets with minimal width and dual width in Q-polynomial distance-regular graphs
- Author(s)
  Hajime Tanaka
- Organizer
  Geometric and Algebraic Combinatoris 5
- Place of Presentation
  Oisterwijk, The Netherlands
- Data Source
  KAKENHI-PROJECT-23740002
[Presentation] On relative t-designs in polynomial association schemes
- Author(s)
  田中太初
- Organizer
  代数的組合せ論ミニ集会
- Place of Presentation
  神戸学院大学
- Data Source
  KAKENHI-PROJECT-25400034

1. LEE JAE-HO

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. Taniguchi Tetsuji (90543728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. Seto Michio (30398953)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. Sano Yoshio (20650261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Obata Nobuaki (10169360)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 宗政昭弘 (50219862)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 洞彰人 (10212200)

# of Collaborated Projects: 1 results

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8. 荒木由布子 (80403913)

# of Collaborated Projects: 1 results

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9. XU JON

# of Collaborated Projects: 1 results

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Tanaka Hajime 田中 太初

TANAKA Hajime 田中 太初

Research Projects

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Co-Researchers

Developments of research on graphs by representations of noncommutative algebrasPrincipal Investigator

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Algebraic combinatorics and its ties with other areasPrincipal Investigator

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Quantum probability and asymptotic analysis of large finite systems

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Algebraic and combinatorial study of Schubert cells and Schubert varietiesPrincipal Investigator

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Development of the algebraic study of graphsPrincipal Investigator

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距離正則グラフの一般化されたターウィリガー代数とダブルアフィンヘッケ環Principal Investigator

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A comprehensive study of combinatorial objects by algebraic methodsPrincipal Investigator

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A elucidation of the structure of graphs by Algebraic Graph Theory and Spectral Graph Theory

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Representations of association schemes and their applicationsPrincipal Investigator

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Algebraic theory of codes and designs based on the Terwilliger algebraPrincipal Investigator

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[Journal Article] Characterizing graphs with fully positive semidefinite Q-matrices2023

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[Journal Article] A duality of scaffolds for translation association schemes2022

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[Journal Article] Spatial search on Johnson graphs by continuous-time quantum walk2022

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Tanaka Hajime 田中太初

TANAKA Hajime 田中太初