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Publications

Refereed journal articles

1. (with B. Brimkov, K. Duna, L. Hogben, K. Lorenzen, C. Reinhart and M. Yarrow) Graphs that are cospectral for the distance Laplacian, To appear in Electronic Journal of Linear Algebra, 2020. (arXiv:1812.05734v1. 18pp.)

2. (with K. Kim and B. Xu) Investigations on association schemes with elementary abelian thin residue, Discrete Mathematics 340 (2017), 2813–2821.

3. (with A. Abiad, B. Brimkov, A. Erey, L. Leshock, X. Martinez-Rivera, S. O and J. Williford) On the Wiener index, distance cospectrality and transmission regular graphs, Discrete Applied Mathematics 230 (2017), 1–10.

4. (with B. Xu and S. Zhou) Combinatorial extensions of Terwilliger algebras and wreath products of association schemes. Discrete Mathematics, 340 (2017), 892–905.

5. (with K. Nowak and O. Olmez) A family of partial geometric designs from three-class association schemes. Journal of Combinatorial Designs, 24 (2016), no. 12, 533–552.

6. (with K. Nowak and O. Olmez) Partial geometric difference families. Journal of Combinatorial Designs, 24 (2016), 112–131.

7. (with L. Jorgensen, G. Jones and M. Klin) Normally regular digraphs, association schemes, and related combinatorial structures. Seminaire Lotharingien de Combinatoire, vol. 71 (2013/14), Art. B71c, 39 pp. (on-line version available at http://www.mat.univie.ac.at/˜slc)

8. (with O. Olmez) Some families of directed strongly regular graphs obtained from certain finite incidence structures. Graphs and Combinatorics, 30 (2014), no.6, 1529–1549.

9. (with A. E. Brouwer and O. Olmez) Directed strongly regular graphs from 1 1 2 -designs, European Journal of Combinatorics 33 (2012), 1174 – 1177.

10. (with G. Bhattacharyya and R. Tanaka) Terwilliger algebras of wreath products of one-class association schemes, Journal of Algebraic Combinatorics: Vol. 31 No. 3 (2010), 455 – 466.

11. (with S.-G. Lee and J. Noh) Educational policy and curriculum of Korean school mathematics in the late 19th and early 20th century. J. Korea Soc. Math. Ed. (Ser. E) Communications of Mathematical Education, Vol. 23, No 4, (2009), 1093 – 1130.

12. (with G. Bhattacharyya, J. Hegeman, J. Kim, J. Langford) Some Existence and Construction Results of Polygonal Designs, European Journal of Combinatorics 29 (2008), 1396–1407.

13. (with E. Bannai, H. Yamada) Character Table of the Permutation Group G2(q) on the Hyperplanes in the Corresponding Orthogonal Geometry, Journal of Applied Mathematics and Computing, 26, No.1-2 (2008), 125-131.

14. (with S. Bang) On Generalized Semidirect Product of Association Schemes, Discrete Mathematics 303 (2005), 5-16.

15. (with S. Bang and M. Hirasaka) Semidirect Products of Association Schemes, Journal of Algebraic Combinatorics 22 No.1 (2005), 23-38.

16. Fusion Relations in Products of Association Schemes, Graphs and Combinatorics, 18 (2002) 3, 655-665.

17. (with A. Bailer, K. See, J. Stufken) Relative Efficiencies of Sampling Plans for Selecting a Small Number of Units from a Rectangular Region. Journal of Statistical Computation and Simulation 66 No.4 (2000), 273 - 294.

18. (with K. Driessel, K. See, and J. Stufken) Polygonal Designs: Some Existence and Nonexistence Results, Journal of Statistical Planning and Inference, 77 (1999) 155-166.

19. (with K. See) Association Schemes of Small Order, Journal of Statistical Planning and Inference 73 (1998), 225-271.

20. (with K. See and J. Stufken) On a Class of Partially Balanced Incomplete Block Designs with Applications in Survey Sampling, Communications in Statistics, Theory and Methods 1(1997), 1-13.

21. Commutative Association Schemes Whose Symmetrizations Have Two Classes, Journal of Algebraic Combinatorics 5 (1996), 47-55.

22. Class 3 Association Schemes Whose Symmetrizations have Two Classes, Journal of Combinatorial Theory A 70 (1995), No. 1, 1-29.

23. (with E. Bannai) Character Tables of Fission Schemes and Fusion Schemes, Europ. J. Combinatorics 14 (1993), 385-396.

24. (with E. Bannai, Shen Hao, and H. Wei) Character Tables of the Association Schemes Coming from Finite Unitary and Symplectic Groups, Journal of Algebra, 144 (1991), 189-213.

25. (with E. Bannai and W. M. Kwok) Ennola Type Dualities in the Character Tables of Some Association Schemes, Memoirs of the Faculty of Science, Kyushu University Ser. A, Vol. 44, No. 2 (1990), 129-143.

26. (with E. Bannai and Shen Hao) Character Tables of the Association Schemes of Finite Orthogonal Groups Acting on the Nonisotropic Points, Journal of Combinatorial Theory, A (2) 54 (1990), 164-200.

27. (with E. Bannai & N. Kawanaka) Character Table of Hecke Algebra H(GL2n(Fq), Sp2n(Fq)), Journal of Algebra, (2) 129 (1990), 320-366.

28. (with E. Bannai) The Character Table of the Commutative Association Scheme Coming from the Action of GL(n, q) on Non-incident Point-Hyperplane Pairs, Hokkaido Mathematical Journal 19 (1990), 417-429.

29. (with K. W. Johnson and J.D.H. Smith) Characters of Finite Quasigroups VI: Critical Examples and Doubletons, Europ. J. Combinatorics, 11 (1990), 267-275.

30. (with E.Bannai) On the Character Table of the Association Scheme Sp(4, q)/Sz(q), Graphs and Combinatorics, 5 (1989), 291-293.

31. (with E. Bannai) The Character Tables of Paige’s Simple Moufang Loops and Their Relationship to the Character Tables of P SL(2, q), Proceedings London Mathematical Society (3) 58 (1989), 209-236.

32. Posets Related to Some Association Schemes. (Dedicated to Professor Han Shick Park on his 60th birthday), Journal of the Korea Society of Mathematical Education 25, (1987), 57-69.

33. Products of Distance Regular Graphs, Utilitas Mathematica 29, (1986) 173-175.

Book entries

34. (with C. Godsil) Association Schemes, in: C. Colbourn and J. Dinitz (Eds.), The CRC Handbook of COMBINATORIAL DESIGNS (2nd Ed.), CRC Press Inc., Boca Raton, 2007, pp 325-330.

35. (with S. Bang) Characterization of Maximal Rational Circulant Association Schemes, in: K. Arasu and A. Seress (Eds.), Codes and Designs, Ohio State Univ. Math. Res. Inst. Publ. 10 (2002), Walter de Gruyter, Berlin, pp. 37 - 48. [MR 2003m:05215)]

36. (with K. See) Spatially Constrained Sampling, in: A. H. El Shaarawi and W. W. Piegorsch (Eds.), Encyclopedia of Environmetrics, J. Wiley, New York, 2002, V.4: pp. 2080-2083. (Published Online: 15 SEP 2006, DOI: 10.1002/9780470057339.)

37. Commutative Association Schemes and Their Fusion and Fission, in: I. Jeong (Ed.), Collected Papers Dedicated to Professor Yeonsik Kim on the Occasion of His 60th Birthday, University Press, Korea, 1992, pp. 113-130.

38. Commutative Association Schemes and Related Algebra, Proceedings of the Fifth KIT Mathematics Workshop, Korea Institute of Technology, Korea, August, 1990, 5, 143-173. [MR 92d:05184]

Conference or workshop proceedings

39. (with H. Tanaka) Group-Case Commutative Association Schemes and Their Character Tables. In: A. Munemasa (Ed.) Proceedings of Algebraic Combinatorics: An International Conference in Honor of Eiichi Bannai, held in Sendai, Japan in June 26–30, 2006. pp. 204 – 213. (arXiv:0809.0748v1)

40. (with D. H. Choi) Calculation of the Spanning Time for Abstract Biological Codes. Proceedings of Hungarian Korean Mathematics Conference, held in June, 2001, Hungarian Academy of Science.

41. (with S. Bang & M. Hirasaka) Semidirect Product of Association Schemes. In: S-G. Lee & M. Y. Sohn (Eds.), Proceedings of Com2MaC Symposium on Combinatorics, Graph Theory, Algorithms and Matrix Theory, 2001, pp. 55-70.

42. (with K. See) Certain Combinatorial Block Designs and Spatially Constrained Sampling. In: S. G. Lee & M. Y. Sohn (Eds.), Proceedings of Com2MaC Symposium on Combinatorics, Graph Theory, Algorithms and Matrix Theory, 2001, pp. 127-140.

43. Delsarte’s Theory on Codes. In: Proceedings of Com2MaC Workshop on Codes, Designs and Cryptography, Hyun Kwang Kim(Ed.), January, 1999, 149-227.

44. Designs, Graphs, and Association Schemes: Existence of Certain Partially Balanced Incomplete Block Designs. In: Proceedings of 1996 Federation of Korean Scientists and Engineers Conference held in June 1996. Basic Science Group, (Math & Stat). 149-157.

Other publications

45. (with Chin-Hong Park) Preface. Summary of the contributions of the 2010 Conference on Algebraic and Geometric Combinatorics, held in Kyeongju, Korea in July 2010. Journal of Applied Mathematics and Computing 40 (2012), No. 1–2, 1 – 3.

46. What is happening in Mathematics, Report on Science and Technology Research Trends. Korean-American Scientists and Engineers Association, January 2009, 57 – 60.

47. Reflections on Applied and Pure Mathematics Symposium at US-Korea Conference. Symposium held in San Diego, CA, in August 17 – 19, 2008, KSEA Letters, 37 (2008) No.1, 12.

48. (with Sejeong Bang, Mitsugu Hirasaka, Hyun K. Kim, and Jack H. Koolen) Preface for the special issue of Discrete Mathematics covering the 2004 Com2MaC Conference on Association Schemes, Codes and Designs. Discrete Math. 308 (2008), no. 14. p. 1.

49. (with Eiichi Bannai, Akihiro Munemasa, and Paul Terwilliger) Preface for the special issue of Discrete Mathematics covering the 2000 Com2MaC Conference on Association Schemes, Codes and Designs. Discrete Math. 264 (2003), no. 1-3. p. 1.

50. The Character Tables of Certain Association Schemes, Ph.D. dissertation, The Ohio State University, Columbus, Ohio, 1987 (Advisor: Dr. Eiichi Bannai).