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ON 4-EQUIVALENCED ASSOCIATION SCHEMES

  • PARK, JEONG RYE
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1683-1709
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    • 2015
  • Let (${\Omega}$, S) be an association scheme where ${\Omega}$ is a non-empty finite set and S is a partition of ${\Omega}{\times}{\Omega}$. For a positive integer k we say that (${\Omega}$, S) is k-equivalenced if each non-diagonal element of S has valency k. In this paper we focus on 4-equivalenced association schemes, and prove that they are transitive.