Question

Prove the Theorem:

Theorem: A graph G is a Cayley graph if and only if Aut(G) contains a subgroup that acts reg- ularly on G

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Answer #1

olubion )et sa cafay set on G. let cay CG,S Ag: G Gthe Lefl transtation for any reG. 9% is unigue in G for Lin Tis given geGFox any 6 Su, th.h61e E(H) e Elr) s0 Hhat is bijeetive homomophism . Also, by aegularidy cau be contlen as hlluu of H. every

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