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arxiv: math/0703861 · v1 · submitted 2007-03-29 · 🧮 math.CO

A 27-vertex graph that is vertex-transitive and edge-transitive but not l-transitive

classification 🧮 math.CO
keywords graphedge-transitivevertexvertex-transitiveautomorphismsdescribeedge-reversingedges
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I describe a 27-vertex graph that is vertex-transitive and edge-transitive but not 1-transitive. Thus while all vertices and edges of this graph are similar, there are no edge-reversing automorphisms.

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