My research is focused on the structure theory of distance-regular graphs. An association scheme, its Bose-Mesner algebra and Terwilliger algebras are algebraic structures associated with each distance-regular graph. I am interested in the relation between the combinatorial structures of a graph and properties of representation modules of algebraic structures it affords. Some of the topics have close connection with error correcting codes used for audio CD's or cellular phones.
Example Publications 1. H. Suzuki, Automorphism Groups of Multilinear Maps, Osaka Journal of Mathematics 20 (1983), 659-673.
2. H. Suzuki, Bounding the Diameter of a Distance Regular Graph by a Function of kd, Graphs and Combinatorics 7 (1991), 363-375. 3. H. Suzuki, 2-designs over GF(q), Graphs and Combinatorics 8 (1992), 381-389.
4. H. Suzuki, On Strongly Closed Subgraphs of Highly Regular Graphs, European Journal of Combinatorics, 16 (1995), 197-220.
5. A. Hiraki, K. Nomura and H. Suzuki, Distance-Regular Graphs of Valency 6 and a1 = 1, Journal of Algebraic Combinatorics, 11 (2000), 101-134.