The Vertex-Transitive Graphs on 8 Vertices

Last update=20 May, 2006

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There are 10 connected vertex-transitive graphs on 8 vertices. Six of them are shown here. The order of the automorphism group is given in square brackets in each window's title.

Notation:

  • Cn means the cycle of length n
  • Cn+ means the cycle of length n with diagonals
  • Cn(k)  means the cycle of length n with chords of length k
  • ~G   means the complement of G
  • 2G  means two disjoint copies of G

The graphs not shown here are:

VT8_1 = C8,
VT8_8 = ~2C4
VT8_9 = ~4K2
VT8_10 = K8

VT8_2 VT8_3
VT8_4 VT8_5
VT8_6 VT8_7

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