CLASSIFICATION OF ASSOCIATION SCHEMES WITH 18 AND 19 VERTICES

  • Hanaki, A. (Department of Mathematics Shinshu University) ;
  • Miyamoto, I. (Department of Computer Science Yamanashi University)
  • Published : 1998.09.01

Abstract

The isomorphism classes of association schemes with 18 and 19 vertices are classified. We obtain 95 isomorphism classes of association schemes with 18 vertices and denote the representatives of the isomorphism classes as subschemes of 7 association schemes. We obtain 7 isomorphism classes of association schemes with 19 vertices and six of them are cyclotomic schemes.

Keywords

References

  1. Algebraic Combinatorics I: Association Schemes E.Bannai;T.Ito
  2. A. Distance Regular Graphs A.E.Brouwer;A.M.Cohen;A.Neumaier
  3. Kyushu J. Math. Classification of association of schemes with 16 and 17 vertices A.Hanaki;I.Miyamoto
  4. Kyushu J. Math v.51 The classification of association schemes with 11 and 12 vertices M.Hirasaka
  5. Kyushu J. Math v.49 Classification of association schemes with at most ten vertices E.Nomiyama
  6. Lehrstuhl D f Mathematik, Rheinisch Westf$\"{a}$lische Technische Hochschule (fifth edition) GAP - Groups, Algorithms, and Programming M.Schert(et.al.)
  7. J. Statist. Plann. Inference. Bose Conference Issue Association schemes of small order K.See;S.Y.Song
  8. Published at WWW Data of association schemes Y.Suga