Topic: Automorphisms and Cayley Graphs

Why the Petersen Graph Is Not a Cayley Graph

Why Cayley Graphs Are Vertex-Transitive

Vertex-Transitive Graphs and Their Examples

The Petersen Graph’s Automorphism Group

The Regular-Subgroup Criterion for Cayley Graphs

The Orbit-Stabilizer Theorem for Graphs

The Hypercube as a Cayley Graph

Regularity and Pitfalls in Vertex-Transitive Graphs

Orbits and Stabilizers of Graph Symmetries

Finding Automorphisms by Refinement and Backtracking