Locally primitive graphs of prime-power order

Cai-Heng Li, J. Pan, L. Ma

    Research output: Contribution to journalArticlepeer-review

    24 Citations (Web of Science)

    Abstract

    Let Γ be a finite connected undirected vertex transitive locally primitive graph of prime-power order. It is shown that either Γ is a normal Cayley graph of a 2-group, or Γ is a normal cover of a complete graph, a complete bipartite graph, or Σ×l, where Σ=Kpm with p prime or Σ is the Schläfli graph (of order 27). In particular, either Γ is a Cayley graph, or Γ is a normal cover of a complete bipartite graph.
    Original languageEnglish
    Pages (from-to)111-122
    JournalJournal of the Australian Mathematical Society
    Volume86
    Issue number1
    DOIs
    Publication statusPublished - 2009

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