On primitive symmetric association schemes with m_1=3

Authors

  • Eiichi Bannai
  • Etsuko Bannai

DOI:

https://doi.org/10.11575/cdm.v1i1.61912

Abstract

We classify primitive symmetric association schemes with m_1 = 3. Namely, it is shown that the tetrahedron, i.e., the association scheme of the complete graph K_4, is the unique such association scheme. Our proof of this result is based on the spherical embeddings of association schemes and elementary three dimensional Euclidean geometry.

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Published

2006-03-24

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Section

Articles