Classifying Arc-Transitive Circulants of Square-Free Order

Cai-Heng Li, D. Marusic, J. Morris

    Research output: Contribution to journalArticle

    8 Citations (Scopus)

    Abstract

    A circulant is a Cayley graph of a cyclic group. Arc-transitive circulants of square-free order are classified. It is shown that an arc-transitive circulant Gamma of square-free order n is one of the following: the lexicographic product Sigma[(J) over bar (b)], or the deleted lexicographic Sigma[(K) over bar (b)]-b Sigma, where n = bm and Sigma is an arc-transitive circulant, or Gamma is a normal circulant, that is, Aut Gamma has a normal regular cyclic subgroup.
    Original languageEnglish
    Pages (from-to)145-151
    JournalJournal of Algebraic Combinatorics
    Volume14
    DOIs
    Publication statusPublished - 2001

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