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On tetravalent normal edge-transitive Cayley graphs on the modular group

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A Cayley graph Γ = Cay(G,S) on a group G with respective to a subset S ⊆ G , S = S−1, 1 ̸∈ S , is said to be… Click to show full abstract

A Cayley graph Γ = Cay(G,S) on a group G with respective to a subset S ⊆ G , S = S−1, 1 ̸∈ S , is said to be normal edge-transitive if NAut(Γ)(ρ(G)) is transitive on edges of Γ, where ρ(G) is a subgroup of Aut(Γ) isomorphic to G . We determine all connected tetravalent normal edge-transitive Cayley graphs on the modular group of order 8n in the case that every element of S is of order 4n .

Keywords: normal edge; edge transitive; tetravalent normal; cayley; group

Journal Title: Turkish Journal of Mathematics
Year Published: 2017

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