Last Update: May 4, 2018

List of Publications

with abstracts for recent articles

  1. Standard Component of Type PSL(4,3), Ph.D. Thesis, The Ohio State University, 1980, iovi, 1-382.
  2. Automorphism Groups of Multilinear Maps, Osaka Journal of Mathematics 20 (1983), 659-673.
  3. Automorphism Groups of Multilinear Mappings, Journal of Mathematical Society of Japan 37 (1985), 135-155, (with Y. Egawa).
  4. Automorphism Groups of Sn+1-invariant Trilinear Forms, Hokkaido Mathematical Journal 14 (1985), 39-47, (with Y. Egawa).
  5. Automorphism Groups of Sn+1-invariant Trilinear Mappings, Mathematica Japonica 31 (1986), 247-281.
  6. Commutative Algebra Associated with a Doubly Transitive Group, Osaka Journal of Mathematics 23 (1986), 541-561.
  7. t-designs in H(d,q), Hokkaido Mathematical Journal 19 (1990), 403-415.
  8. 2-designs over GF(2m), Graphs and Combinatorics 6 (1990), 293-296.
  9. On the inequalities of t-designs over a Finite Field, European Journal of Combinatorics 11 (1990), 601-607.
  10. Multilinear Polynomials and Frankl-Ray-Chaudhuri-Wilson Type Intersection Theorems, Journal of Combinatorial Theory Ser.(A) 58 (1991), 165-180, (with N. Alon and L. Babai).
  11. Bounding the Diameter of a Distance Regular Graph by a Function of kd, Graphs and Combinatorics 7 (1991), 363-375.
  12. Bounding the Number of Columns (1,k-2,1) in the Intersection Arrays of a Distance-Regular Graph, Mathematica Japonica 37 (1992), 487-494, (with N. Higashitani).
  13. 2-designs over GF(q), Graphs and Combinatorics 8 (1992), 381-389.
  14. On Distance-Regular Graphs with b1 = cd-1, Mathematica Japonica 37 (1992), 751-756, (with A. Hiraki).
  15. On Distance Regular Graphs with be = 1, SUT Journal of Mathematics, 29 (1993), 1-14.
  16. On Distance-Biregular Graphs of Girth Divisible by Four, Graphs and Combinatorics 10 (1994), 61-65.
  17. On Distance-Regular Graphs with ki = kj, Journal of Combinatorial Theory Ser (B), 61 (1994), 103-110.
  18. Bounding the Diameter of a Distance Regular Graph by a Function of kd, II, Journal of Algebra, 169 (1994), 713-750.
  19. On Distance-i-Graphs of Distance-Regular Graphs, Kyushu Journal of Mathematics 48 (1994), 379-408.
  20. On Strongly Closed Subgraphs of Highly Regular Graphs, European Journal of Combinatorics, 16 (1995), 197-220.
  21. Distance Semi-Regular Graphs, Algebraic Colloquium, 2 (1995), 315-328.
  22. On Distance-Regular Graphs with ki = kj, II, Graphs and Combinatorics, 11 (1995), 305-317, (with A. Hiraki and M. Wajima).
  23. A Note on Association Schemes with Two P-polynomial Structures of Type III, Journal of Combinatorial Theory Ser.(A), 74 (1996), 158-168.
  24. Strongly Closed Subgraphs of a Distance-Regular Graphs of Geometirc Girth Five, Kyushu Journal of Mathematics, 50 (1996), 371-384.
  25. Imprimitive Q-polynomial Association Schemes, Journal of Algebraic Combinatorics, 7 (1998), 165-180.
  26. Association Schemes with Multiple Q-polynomial Structures, Journal of Algebraic Combinatorics, 7 (1998), 181-196.
  27. Character Products and Q-polynomial Group Association Schemes, Journal of Algebra, 226 (2000), 533-546, (with M. Kiyota).
  28. Distance-Regular Graphs of Valency 6 and a1 = 1, Journal of Algebraic Combinatorics, 11 (2000), 101-134, (with A. Hiraki and K. Nomura).
  29. Type II Matrices and Their Bose-Mesner Algebras, Journal of Algebraic Combinatorics 17 (2003), pp. 19-37, (with R. Hosoya).
  30. Weakly Distance-Regular Digraphs, Discrete Mathematics 264 (2003), 225-236, (with K. S. Wang).
  31. Thin Weakly Distance-Regular Digraphs, Journal of Combinatorial Theory, Ser. B 92 (2004), 69-83.
  32. The Terwilliger Algebra Associated with a Set of Vertices in a Distance-Regular Graph, Journal of Algebraic Combinatorics 22 (2005), 5-38.
  33. The Geometric Girth of a Distance-Regular Graph Having Certain Thin Irreducible Modules for the Terwilliger Algebra, European Journal of Combinatorics 27 (2006), 235-254.
  34. Tight Distance-Regular Graphs with Respect to Subsets, European Journal of Combinatorics 28 (2007). 61-74, (with R. Hosoya).
  35. On Strongly Closed Subgraphs with Diameter Two and the Q-Polynomial Property, European Journal of Combinatorics 28 (2007), 167-185.
  36. Almost 2-Homogeneous Graphs and Completely Regular Quadrangles, Graphs and Combinatorics 24 (2008), 571-585.
  37. Non-existence of Imprimitive Q-polynomial Schemesof Exceptional Type with d =4, European Journal of Combinatorics 30 (2009), 674-681, (with Diana Cerzo).
  38. Parallelogram-Free Distance-Regular Graphs Having Completely Regular Strongly Regular Subgraphs, Journal of Algebraic Combinatorics 30 (2009), 401-413.
  39. Intriguing Sets of Vertices of Regular Graphs, Graphs and Combinatorics 26 (2010), 629 - 646, (with Bart De Bruyn).
  40. Edge-Distance-Regular Graphs, Journal Combinatorial Theory, Series A, 120 (2013), 1057–1067, (with M. C ́amara, C. Dalf ́o, C. Delorme and M.A. Fiol).
  41. Completely Regular Clique Graphs, Journal of Algebraic Combinatorics, 40 (2014), 233–244.
  42. Completely Regular Clique Graphs, II, Journal of Algebraic Combinatorics, 43 (2016), 417–445.
  43. Distance-Regular Graphs of Large Diameter That Are Completely Regular Clique Graphs, J. Algebr. Comb. 48 (2018), 369-404. https://doi.org/10.1007/s10801-017-0808-9.
  44. Coverings and Homotopy of a Graph, Discrete Mathematics, 341 (2018), 1994-2010. https://doi.org/10.1016/j.disc.2018.03.028.

List of Preprints

  1. Character Products, and Balanced Sets Associated with Group Schemes, preprint.
  2. A Classification of Four-Weight Spin Models of Size Six and Seven, preprint (with H. Tsuchiyama).
  3. On Balanced Conditions (version 1.2, December 12, 1998), preprint.
  4. Type II Matrices of H(d,q), preprint.

Other Publications

  1. Local and Antipodal Structures of Distance-Regular Graphs (List of Problems), Algebraic Combinatorics and Related Topics (Manila 1994), 120-128.
  2. An Introduction to Distance-Regular Graphs, Lecture Note, in Three Lectures in Algebra, Sophia University Lecture Note Series No. 41 (1999), 57-132.
  3. An Introduction to Q-polynomial Association Schemes, Lecture Note, in preparation.
  4. Balanced Condition による代数的組合せ論入門 (version 2.1. August 21, 1998), Lecture Note, in Japanese.
  5. "Groups and Combinatorics -- in memory of Michio Suzuki", ASPM 32, Mathematical Society of Japan, 2001, edit with Eiichi Bannai, Tomoyuki Yoshida and Hiroyoshi Yamaki.

  6. Lecturenotes

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