PHOTO

Hajime Tanaka
Section
Graduate School of Information Sciences
Job title
Associate Professor
Degree
  • 博士(数理学)(九州大学)

  • 修士(数理学)(九州大学)

Research History 11

  • 2023/04 - Present
    Tohoku University Mathematical Science Center for Co-creative Society Associate Professor

  • 2012/08 - Present
    Tohoku University Graduate School of Information Sciences Associate Professor

  • 2022/12 - 2023/03
    Tohoku University Research Alliance Center for Mathematical Sciences Associate Professor

  • 2017/04 - 2022/03
    Tohoku University Research Alliance Center for Mathematical Sciences Associate Professor

  • 2007/10 - 2012/07
    Tohoku University Graduate School of Information Sciences Assistant Professor

  • 2010/03 - 2011/03
    University of Wisconsin-Madison Department of Mathematics Honorary Fellow

  • 2007/04 - 2007/09
    Worcester Polytechnic Institute Department of Mathematical Sciences Affiliate Assistant Professor & JSPS Fellow for Research Abroad

  • 2007/04 - 2007/06
    Massachusetts Institute of Technology Department of Mathematics Visiting Scholar

  • 2004/04 - 2007/03
    Tohoku University Graduate School of Information Sciences JSPS Research Fellow (PD)

  • 2006/08 - 2006/09
    Pohang University of Science and Technology Combinatorial and Computational Mathematics Center Visiting Researcher

  • 2001/04 - 2004/03
    Tohoku University Graduate School of Information Sciences JSPS Research Fellow (DC1)

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Education 3

  • Kyushu University Graduate School of Mathematics

    2001/04 - 2004/03

  • Kyushu University Graduate School of Mathematics

    1999/04 - 2001/03

  • Kyushu University Faculty of Science Department of Mathematics

    1995/04 - 1999/03

Professional Memberships 2

  • The Institute of Combinatorics and its Applications

  • The Mathematical Society of Japan

Research Interests 3

  • spectral graph theory

  • algebraic graph theory

  • algebraic combinatorics

Research Areas 3

  • Natural sciences / Applied mathematics and statistics /

  • Natural sciences / Basic mathematics /

  • Natural sciences / Algebra /

Papers 37

  1. Characterizing graphs with fully positive semidefinite $Q$-matrices International-journal Peer-reviewed

    Hajime Tanaka

    Linear Algebra and its Applications 671 59-66 2023/08/15

    Publisher: Elsevier BV

    DOI: 10.1016/j.laa.2023.04.018  

    ISSN:0024-3795

  2. Spatial search on Johnson graphs by discrete-time quantum walk International-journal International-coauthorship Peer-reviewed

    Hajime Tanaka, Mohamed Sabri, Renato Portugal

    Journal of Physics A: Mathematical and Theoretical 55 (25) 255304 2022/06/01

    DOI: 10.1088/1751-8121/ac6f30  

  3. Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials International-journal International-coauthorship Peer-reviewed

    Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu

    Ars Mathematica Contemporanea 22 (2) #P2.01 2022/04/14

    Publisher: University of Primorska Press

    DOI: 10.26493/1855-3974.2352.eaf  

    ISSN:1855-3966

    eISSN:1855-3974

  4. A duality of scaffolds for translation association schemes International-journal International-coauthorship Peer-reviewed

    Xiaoye Liang, Ying-Ying Tan, Hajime Tanaka, Tao Wang

    Linear Algebra and its Applications 638 110-124 2022/04/01

    Publisher: Elsevier BV

    DOI: 10.1016/j.laa.2021.12.018  

    ISSN:0024-3795

  5. Spatial search on Johnson graphs by continuous-time quantum walk International-journal International-coauthorship Peer-reviewed

    Hajime Tanaka, Mohamed Sabri, Renato Portugal

    Quantum Information Processing 21 (2) 74 2022/01/28

    Publisher: Springer Science and Business Media LLC

    DOI: 10.1007/s11128-022-03417-9  

    ISSN:1570-0755

    eISSN:1573-1332

  6. Scaling limits for the Gibbs states on distance-regular graphs with classical parameters International-journal International-coauthorship Peer-reviewed

    Masoumeh Koohestani, Nobuaki Obata, Hajime Tanaka

    SIGMA Symmetry, Integrability and Geometry: Methods and Applications 17 104 2021/11/26

    Publisher: SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    DOI: 10.3842/sigma.2021.104  

    eISSN:1815-0659

    More details Close

    We determine the possible scaling limits in the quantum central limit theorem with respect to the Gibbs state, for a growing distance-regular graph that has so-called classical parameters with base unequal to one. We also describe explicitly the corresponding weak limits of the normalized spectral distribution of the adjacency matrix. We demonstrate our results with the known infinite families of distance-regular graphs having classical parameters and with unbounded diameter.

  7. The Terwilliger algebra of the twisted Grassmann graph: the thin case International-journal Peer-reviewed

    Hajime Tanaka, Tao Wang

    The Electronic Journal of Combinatorics 27 (4) #P4.15 2020/10/30

    DOI: 10.37236/9873  

  8. Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials International-journal International-coauthorship Peer-reviewed

    John Vincent, S. Morales, Nobuaki Obata, Hajime Tanaka

    Colloquium Mathematicum 162 (1) 1-22 2020/04/01

    Publisher: Institute of Mathematics, Polish Academy of Sciences

    DOI: 10.4064/cm7724-7-2019  

    ISSN:0010-1354

    eISSN:1730-6302

  9. The independence number of the orthogonality graph in dimension $2^k$ International-journal International-coauthorship Peer-reviewed

    Ferdinand Ihringer, Hajime Tanaka

    Combinatorica 39 (6) 1425-1428 2019/12

    DOI: 10.1007/s00493-019-4134-9  

  10. An Assmus–Mattson theorem for codes over commutative association schemes International-journal Peer-reviewed

    John Vincent S. Morales, Hajime Tanaka

    Designs, Codes and Cryptography 86 (5) 1039-1062 2018/05

    DOI: 10.1007/s10623-017-0376-y  

    ISSN:0925-1022

  11. Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual $q$-Krawtchouk polynomials International-journal International-coauthorship Peer-reviewed

    Jae-Ho Lee, Hajime Tanaka

    SIGMA Symmetry, Integrability and Geometry: Methods and Applications 14 009 2018/02

    DOI: 10.3842/SIGMA.2018.009  

    ISSN:1815-0659

  12. A semidefinite programming approach to a cross-intersection problem with measures International-journal Peer-reviewed

    Sho Suda, Hajime Tanaka, Norihide Tokushige

    Mathematical Programming 166 (1-2) 113-130 2017/11

    DOI: 10.1007/s10107-016-1106-3  

  13. Design theory from the viewpoint of algebraic combinatorics International-journal International-coauthorship Peer-reviewed

    Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu

    Graphs and Combinatorics 33 (1) 1-41 2017/01

    DOI: 10.1007/s00373-016-1739-2  

  14. Distance-regular graphs International-journal International-coauthorship Peer-reviewed

    Edwin R. van Dam, Jack H. Koolen, Hajime Tanaka

    The Electronic Journal of Combinatorics #DS22 2016/04

    DOI: 10.37236/4925  

  15. Arithmetic completely regular codes International-journal International-coauthorship Peer-reviewed

    Jack H. Koolen, Woo Sun Lee, William J. Martin, Hajime Tanaka

    Discrete Mathematics & Theoretical Computer Science 17 (3) 59-76 2016/02

  16. On relative $t$-designs in polynomial association schemes International-journal International-coauthorship Peer-reviewed

    Eiichi Bannai, Etsuko Bannai, Sho Suda, Hajime Tanaka

    The Electronic Journal of Combinatorics 22 (4) #P4.47 2015/12

    DOI: 10.37236/4889  

  17. Appendix: On some Gelfand pairs and commutative association schemes International-journal International-coauthorship Peer-reviewed

    Eiichi Bannai, Hajime Tanaka

    Japanese Journal of Mathematics 10 (1) 97-104 2015/03

    DOI: 10.1007/s11537-014-1391-7  

    More details Close

    The original version of the appendix appeared in the unofficial proceedings, "Combinatorial Number Theory and Algebraic Combinatorics", November 2002, Yamagata University, Yamagata, Japan, pp. 1–8.

  18. A cross-intersection theorem for vector spaces based on semidefinite programming International-journal Peer-reviewed

    Sho Suda, Hajime Tanaka

    Bulletin of the London Mathematical Society 46 (2) 342-348 2014/02/03

    DOI: 10.1112/blms/bdt101  

  19. The Erdős-Ko-Rado basis for a Leonard system International-journal Peer-reviewed

    Hajime Tanaka

    Contributions to Discrete Mathematics 8 (2) 41-59 2013

    DOI: 10.11575/cdm.v8i2.62172  

  20. The Erdős-Ko-Rado theorem for twisted Grassmann graphs International-journal Peer-reviewed

    Hajime Tanaka

    Combinatorica 32 (6) 735-740 2012/12

    DOI: 10.1007/s00493-012-2798-5  

  21. A note on super Catalan numbers International-journal International-coauthorship Peer-reviewed

    Evangelos Georgiadis, Akihiro Munemasa, Hajime Tanaka

    Interdisciplinary Information Sciences 18 (1) 23-24 2012/06/21

    DOI: 10.4036/iis.2012.23  

  22. Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-journal Peer-reviewed

    Hajime Tanaka

    The Electronic Journal of Combinatorics 18 (1) #P167 2011/08

    DOI: 10.37236/654  

  23. Nonexistence of exceptional imprimitive $Q$-polynomial association schemes with six classes International-journal Peer-reviewed

    Hajime Tanaka, Rie Tanaka

    European Journal of Combinatorics 32 (2) 155-161 2011/02

    DOI: 10.1016/j.ejc.2010.09.006  

  24. Finite Euclidean graphs and Ramanujan graphs International-journal Peer-reviewed

    Eiichi Bannai, Osamu Shimabukuro, Hajime Tanaka

    Discrete Mathematics 309 (20) 6126-6134 2009/10/28

    DOI: 10.1016/j.disc.2009.06.008  

  25. A bilinear form relating two Leonard systems International-journal Peer-reviewed

    Hajime Tanaka

    Linear Algebra and its Applications 431 (10) 1726-1739 2009/10/15

    DOI: 10.1016/j.laa.2009.06.012  

  26. Commutative association schemes International-journal International-coauthorship Peer-reviewed

    William J. Martin, Hajime Tanaka

    European Journal of Combinatorics 30 (6) 1497-1525 2009/08

    DOI: 10.1016/j.ejc.2008.11.001  

  27. New proofs of the Assmus–Mattson theorem based on the Terwilliger algebra International-journal Peer-reviewed

    Hajime Tanaka

    European Journal of Combinatorics 30 (3) 736-746 2009/04

    DOI: 10.1016/j.ejc.2008.07.018  

  28. A note on the span of Hadamard products of vectors International-journal Peer-reviewed

    Hajime Tanaka

    Linear Algebra and its Applications 430 (2-3) 865-867 2009/01/15

    DOI: 10.1016/j.laa.2008.09.010  

  29. Comments on "Best conventional solutions to the King's problem" International-journal Peer-reviewed

    Gen Kimura, Hajime Tanaka, Masanao Ozawa

    Zeitschrift für Naturforschung A 62a (3/4) 152-156 2007

    DOI: 10.1515/zna-2007-3-406  

  30. New upper bounds for nonbinary codes based on the Terwilliger algebra and semidefinite programming International-journal International-coauthorship Peer-reviewed

    Dion Gijswijt, Alexander Schrijver, Hajime Tanaka

    Journal of Combinatorial Theory, Series A 113 (8) 1719-1731 2006/11

    DOI: 10.1016/j.jcta.2006.03.010  

  31. Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs International-journal Peer-reviewed

    Hajime Tanaka

    Journal of Combinatorial Theory Series A 113 (5) 903-910 2006/07

    DOI: 10.1016/j.jcta.2005.08.006  

  32. Solution to the mean king's problem with mutually unbiased bases for arbitrary levels International-journal Peer-reviewed

    Gen Kimura, Hajime Tanaka, Masanao Ozawa

    Physical Review A 73 (5) 050301(R) 2006/05/05

    DOI: 10.1103/PhysRevA.73.050301  

  33. Association schemes of affine type over finite rings International-journal Peer-reviewed

    Hajime Tanaka

    Advances in Geometry 4 (2) 241-261 2004/03/29

    DOI: 10.1515/advg.2004.015  

  34. $(n+1,m+1)$-hypergeometric functions associated to character algebras International-journal Peer-reviewed

    Hiroshi Mizukawa, Hajime Tanaka

    Proceedings of the American Mathematical Society 132 (9) 2613-2618 2004/03/25

    DOI: 10.1090/S0002-9939-04-07399-X  

  35. Finite analogues of non-Euclidean spaces and Ramanujan graphs International-journal Peer-reviewed

    Eiichi Bannai, Osamu Shimabukuro, Hajime Tanaka

    European Journal of Combinatorics 25 (2) 243-259 2004/02

    DOI: 10.1016/S0195-6698(03)00110-0  

  36. The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$ International-journal Peer-reviewed

    Eiichi Bannai, Hajime Tanaka

    Journal of Algebra 265 (2) 496-512 2003/07/15

    DOI: 10.1016/S0021-8693(03)00271-0  

  37. A four-class subscheme of the association scheme coming from the action of $PGL(2,4^f)$ International-journal Peer-reviewed

    Hajime Tanaka

    European Journal of Combinatorics 23 (1) 121-129 2002/01

    DOI: 10.1006/eujc.2001.0511  

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Presentations 68

  1. The element distinctness problem revisited International-presentation

    Hajime Tanaka

    10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 TOKYO) 2023/08/21

  2. Characterizing graphs with fully positive semidefinite $Q$-matrices

    RIMS Symposium (open), "Research on finite groups, algebraic combinatorics, and vertex algebras" 2022/12/05

  3. Scaling limits for the Gibbs states on distance-regular graphs with classical parameters International-presentation International-coauthorship

    The 19th Workshop: Noncommutative Probability, Noncommutative Harmonic Analysis and Related Topics, with Applications 2022/08/05

  4. 量子ウォークに基づく Johnson グラフ上の探索アルゴリズム

    田中 太初

    代数学の広がり 2022/03/25

  5. Spatial search on Johnson graphs by discrete-time quantum walk International-presentation Invited

    Hajime Tanaka

    Workshop on Algebraic Combinatorics 2022/01/26

  6. Spatial search on Johnson graphs by continuous-time quantum walk International-presentation Invited

    Hajime Tanaka

    Workshop on Algebraic Graph Theory and Quantum Information 2021/08/27

  7. Scaling limits for the Gibbs states on distance-regular graphs with classical parameters

    RIMS Workshop (open) "Research on finite groups, algebraic combinatorics, and vertex algebras" 2020/12/09

  8. Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials International-coauthorship

    RIMS joint research "Research on algebraic combinatorics, related groups and algebras" 2019/12/18

  9. The independence number of the orthogonality graph in dimension $2^k$ International-presentation

    Frontiers in Mathematical Science Research Workshop 2019/09/28

  10. Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials International-presentation

    AMS Fall Central Sectional Meeting 2019/09/14

  11. Current progress in the Delsarte theory International-presentation Invited

    International Workshop on Algebraic Combinatorics 2018/11/24

  12. 距離正則グラフの Terwilliger 代数の拡張について (On a generalization of the Terwilliger algebra of a distance-regular graph)

    第63回代数学シンポジウム 2018/09/03

  13. The Terwilliger algebra with respect to an edge of a bipartite $2$-homogeneous distance-regular graph

    Hakata Workshop Summer Meeting 2018 2018/06/16

  14. Association schemes and orthogonal polynomials International-presentation

    Some Aspects of Combinatorics Workshop 2018/03/23

  15. Association schemes and orthogonal polynomials International-presentation Invited

    International Workshop on Bannai-Ito Theory 2017/11/25

  16. Asymptotic spectral distributions for Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials

    「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 (The 6<sup>th</sup> Workshop on Spectral Graph Theory and Related Topics) 2017/10/15

  17. An Assmus–Mattson theorem for codes over commutative association schemes

    研究集会「実験計画法と符号および関連する組合せ構造」 2016/11/28

  18. On tight relative $t$-designs in hypercubes International-presentation

    The Japanese Conference on Combinatorics and its Applications (JCCA 2016) 2016/05/24

  19. A semidefinite programming approach to a cross-intersection problem with measures International-presentation

    Systems of Lines: Applications of Algebraic Combinatorics 2015/08/13

  20. A semidefinite programming approach to a cross-intersection problem with measures

    第32回代数的組合せ論シンポジウム 2015/06/22

  21. The Terwilliger algebra of a $Q$-polynomial distance-regular graph with respect to a set of vertices International-presentation Invited

    Algebraic Combinatorics Workshop 2014/11/29

  22. Delsarte 理論入門 (Introduction to Delsarte Theory)

    代数的組合せ論「夏の学校 2014」 2014/06/16

  23. On relative $t$-designs in polynomial association schemes

    代数的組合せ論ミニ集会 2014/03/07

  24. A cross-intersection theorem for vector spaces based on semidefinite programming

    離散数学とその応用研究集会2013 2013/08/10

  25. A cross-intersection theorem for vector spaces based on semidefinite programming

    第30回代数的組合せ論シンポジウム 2013/06/26

  26. A cross-intersection theorem for vector spaces based on semidefinite programming International-presentation Invited

    8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications 2013/06/07

  27. Extending the Erdős–Ko–Rado theorem International-presentation

    2012 Shanghai Conference on Algebraic Combinatorics 2012/08/20

  28. Extending the Erdős–Ko–Rado theorem International-presentation

    The 5th International Workshop on Optimal Network Topologies 2012/07/27

  29. Extending the Erdős–Ko–Rado theorem

    RIMS Workshop "Research into Finite Groups and their Representations, Vertex Operator Algebras, and Combinatorics" 2012/03/07

  30. The Erdős–Ko–Rado theorem for twisted Grassmann graphs International-presentation

    10th Korea–Japan Workshop on Algebra and Combinatorics 2012/01/26

  31. 代数的組合せ論に於ける半正定値計画の応用 (Applications of semidefinite programming in Algebraic Combinatorics)

    The 23rd RAMP Symposium 2011/10/24

  32. Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation

    Geometric and Algebraic Combinatorics 5 2011/08/17

  33. Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation

    Linear Algebra Techniques in Combinatorics/Graph Theory 2011/02/02

  34. 具体例に於ける Terwilliger 代数の既約加群の計算 (Computations of the irreducible modules of the Terwilliger algebra for concrete examples)

    小研究集会「有限幾何とその周辺」 2009/08/07

  35. $\mathbb{Z}_4$-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets

    夏の学校「Designs and Codes」 2009/06/23

  36. Dual-tight cometric association schemes International-presentation

    Special Session on Algebraic Graph Theory, Association Schemes, and Related Topics, AMS 2009 Spring Eastern Section Meeting 2009/04/26

  37. Dual-tight cometric association schemes

    坂内英一教授退職記念研究集会 2009/03/18

  38. The nucleus of a $Q$-polynomial distance-regular graph International-presentation

    The 5th Japan-Korea Workshop on Algebra and Combinatorics 2008/09/19

  39. A bilinear form relating two Leonard pairs and its applications International-presentation

    Geometric and Algebraic Combinatoris 4 2008/08/20

  40. A remark on subsets with minimal width plus dual width

    ミニ集会「代数的組合せ論」 2008/03/22

  41. A bilinear form relating two Leonard pairs International-presentation

    Fourth Korea-Japan Workshop on Algebra and Combinatorics 2008/02/02

  42. On the displacement decomposition of a $Q$-polynomial distance-regular graph

    RIMS Workshop "Finite Groups and Algebraic Combinatorics" 2007/12/18

  43. On subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation

    Bled'07, 6th Slovenian International Conference on Graph Theory 2007/06/25

  44. A strengthening of the Assmus-Mattson theorem based on the displacement and split decompositions International-presentation

    CanaDAM 2007, 1st Canadian Discrete and Algorithmic Mathematics Conference 2007/05/29

  45. On subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs

    代数的組合せ論ミニ集会 2007/03/05

  46. On subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation

    Korea-Japan Workshop on Algebra and Combinatorics 2007/02/11

  47. A strengthening of the Assmus-Mattson theorem based on the displacement and split decompositions

    RIMS研究集会「群論とその周辺」 2006/12/21

  48. A strengthening of the Assmus-Mattson theorem based on the split and displacement decompositions International-presentation

    Algebra and Combinatorics, Japan-Korea 2006/10/22

  49. Terwilliger 代数に基づく符号の半正定値計画限界 (The semidefinite programming bound for codes based on the Terwilliger algebra)

    第51回代数学シンポジウム 2006/08/05

  50. A new proof of the Assmus-Mattson theorem based on the Terwilliger algebra International-presentation

    Algebraic Combinatorics: An International Conference in Honor of Eiichi Bannai's 60th Birthday 2006/06/30

  51. Partial superschemes and semidefinite programming bounds

    代数的組合せ論ミニ集会 2006/03/04

  52. アソシエーションスキームの話 (Topics in association schemes) Invited

    第2回組合せ論若手研究集会 2006/02/20

  53. Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs International-presentation Invited

    The Fifth Shanghai Conference on Combinatorics 2005/05/14

  54. A classification of subsets with $w+w^*=d$ in polynomial association schemes

    RIMS Workshop "Algebraic Combinatorics" 2004/12/14

  55. Schrijver bound for nonbinary codes International-presentation

    COE Workshop on Sphere Packings 2004/11/05

  56. Character tables of commutative association schemes and coding theory International-presentation

    Workshop "Open Problems on Association Schemes" 2004/07/17

  57. 可換アソシエーションスキームの指標理論 (Character theory of commutative association schemes)

    RIMS研究集会「有限単純群の研究とその周辺」 2003/12/15

  58. On eigenmatrices of certain character algebras and $(n+1,m+1)$-hypergeometric functions International-presentation

    The Second East Asian Conference on Algebra and Combinatorics 2003/11/20

  59. Association schemes of affine type over finite rings International-presentation

    Conference on Algebra 2002/12/02

  60. Association schemes of affine type over finite rings International-presentation

    Combinatorial Number Theory and Algebraic Combinatorics 2002/11/19

  61. Association schemes of affine type over finite rings

    第14回有限群論草津セミナー 2002/08

  62. The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$

    RIMS Workshop "Topics in Young Diagrams and Representation Theory" 2001/11

  63. The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$

    日本数学会秋季総合分科会 2001/10

  64. The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$ International-presentation

    East Asian Conference on Algebra and Combinatorics 2001/09

  65. The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$

    第18回代数的組合せ論シンポジウム 2001/07/02

  66. Some results on the multiplicity-free permutation group $GL(4,q)$ acting on $GL(4,q)/GL(2,q^2)$

    RIMS研究集会「符号・格子・頂点作用素代数と有限群」 2001/02/21

  67. On some relationships among the association schemes of finite orthogonal groups acting on hyperplanes International-presentation

    Com<SUP>2</SUP>MaC Conference on Association Schemes, Codes and Designs 2000/07/06

  68. On some relationships among the association schemes of finite orthogonal groups acting on hyperplanes

    17回代数的組合せ論シンポジウム 2000/06/21

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Research Projects 9

  1. Developments of research on graphs by representations of noncommutative algebras

    Hajime Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research

    Category: Grant-in-Aid for Scientific Research (C)

    Institution: Tohoku University

    2023/04 - 2026/03

  2. 代数的組合せ論及びその諸分野との連携 Competitive

    田中 太初

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業 基盤研究(C)

    Category: 基盤研究(C)

    Institution: 東北大学

    2020/04 - 2023/03

  3. Quantum probability and asymptotic analysis of large finite systems Competitive

    Nobuaki Obata, Akihito Hora, Hajime Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

    Category: Grant-in-Aid for Scientific Research (B)

    Institution: Tohoku University

    2019/04 - 2023/03

  4. Development of the algebraic study of graphs Competitive

    Hajime Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

    Category: Grant-in-Aid for Scientific Research (C)

    Institution: Tohoku University

    2017/04 - 2020/03

  5. A comprehensive study of combinatorial objects by algebraic methods Competitive

    Hajime Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

    Category: Grant-in-Aid for Scientific Research (C)

    Institution: Tohoku University

    2013/04 - 2017/03

  6. Representations of association schemes and their applications Competitive

    Hajime Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)

    Category: Grant-in-Aid for Young Scientists (B)

    Institution: Tohoku University

    2011/04 - 2013/03

  7. Algebraic theory of codes and designs based on the Terwilliger algebra Competitive

    Hajime Tanaka

    Offer Organization: Japan Society for the Promotion of Science

    System: Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)

    Category: Grant-in-Aid for Young Scientists (B)

    Institution: Tohoku University

    2008/04 - 2011/03

  8. アソシエーションスキームの指標表と他変数直交多項式 Competitive

    田中 太初

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業 特別研究員奨励費

    Category: 特別研究員奨励費

    Institution: 東北大学

    2004/04 - 2007/03

  9. 可移置換群より構成される種々のアソシエーションスキームの指標表に於ける相互関係 Competitive

    田中 太初

    Offer Organization: 日本学術振興会

    System: 科学研究費助成事業 特別研究員奨励費

    Category: 特別研究員奨励費

    Institution: 九州大学

    2001/04 - 2004/03

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