Last update=23 May, 2006

There are 51 connected vertex-transitive graphs on 14 vertices. The 6 of degree 5 (hence 35 edges) are shown here. The order of the automorphism group is given in square brackets in each window's title.

Notation:

• C_n means the cycle of length n
• C_n⁺ means the cycle of length n with diagonals
• C_n(k)  means the cycle of length n with chords of length k
• C_n(k⁺)  means the cycle of length n with chords of length k from every second vertex
• ~G   means the complement of G
• 2G   means two disjoint copies of G
• GxH   means the direct product of G and H
• Prism(m)  means C_mxK₂, ie, two cycles with corresponding vertices joined by a matching
• L(G)   means the line-graph of G
• Dbl(G)   means the double of G. Make 2 copies of G, call them G₁ and G₂. If uv is an edge of G, then u₁v₂ and v₁u₂ are also edges of Dbl(G)
• Dbl⁺(G)   means the double of G, with the additional edges u₁u₂

The complements of the graphs shown here are:

VT12_33 = ~(C₇(2)xK₂)

VT12_34 = ~Dbl⁺(C₇)

VT12_35 = ~C₁₄(2)

VT12_36 = ~C₁₄(2,5⁺)

VT12_37 = ~C₁₄⁺(4)

VT12_38 = ~C₁₄⁺(3)

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