Kovács, István; Matematični kolokvij november 2008

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Automorphism groups of circulant graphs

István Kovács

Univerza na Primorskem, FAMNIT

6. november 2008


A circulant graph Γ is a Cayley graph over a cyclic group Cn. In the talk we consider the automorphism groups of such graphs. We present a description of Aut Γ in terms of generalized wreath products in the special case when Γ has rational spectrum. We also give a formula estimating the total number of groups Aut Γ that Γ has order n = 2t.


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