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 language | English |
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Pages (from-to) | 111-122 |
Journal | Journal of the Australian Mathematical Society |
Volume | 86 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2009 |