Association schemes generated by a non-symmetric relation of valency 2

M. Hirasaka, M. Muzychuk

Research output: Contribution to journalConference articlepeer-review

17 Scopus citations


We give some observations on association schemes with a relation of valency 2 from the representation theory of Bose-Mesner algebras and the basic structure theory. One of the applications of these observations is the classification of the association schemes with a non-symmetric relation of valency 2 if the cardinality of the point set is a product of two primes, and another is the proof of Li's conjecture that any finite simple group is a connected 2-DCI-group.

Original languageEnglish
Pages (from-to)109-135
Number of pages27
JournalDiscrete Mathematics
Issue number1-3
StatePublished - 6 Feb 2002
Externally publishedYes
EventAlgebraic and Topological Methods in Graph Theory (ATMGT) - Lake Bled, Slovenia
Duration: 28 Jun 19992 Jul 1999


  • 2-dci-group
  • Association schemes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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