Examples
Let φ be the automorphism of F(a,b) given by φ(a) = b, φ(b) = ab. Let Γ be the wedge of two loop-edges Ea and Eb corresponding to the free basis elements a and b, wedged at the vertex v. Let f : Γ → Γ be the map which fixes v and sends the edge Ea to Eb and that sends the edge Eb to the edge-path EaEb. Then f is a train track representative of φ.
Read more about this topic: Train Track Map
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