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LOCALLY PRIMITIVE GRAPHS OF PRIME-POWER ORDER

  • CAI HENG LI (a1), JIANGMIN PAN (a2) and LI MA (a3)

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.

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Copyright

Corresponding author

For correspondence; e-mail: li@maths.uwa.edu.au

Footnotes

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This work forms a part of the PhD project of Jiangmin Pan. It was partially supported by a NNSF and an ARC Discovery Project Grant.

Footnotes

References

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Keywords

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LOCALLY PRIMITIVE GRAPHS OF PRIME-POWER ORDER

  • CAI HENG LI (a1), JIANGMIN PAN (a2) and LI MA (a3)

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