Abstract Let S n be the symmetric group on [ n ] = { 1 , 2 , … , n } and Z n ( s ) = {… Click to show full abstract
Abstract Let S n be the symmetric group on [ n ] = { 1 , 2 , … , n } and Z n ( s ) = { α ∈ S n : α is an s -cycle } where 2 ≤ s ≤ n . In this paper, we determine all the partitions associated with the smallest eigenvalues of the Cayley graph Γ ( S n , Z n ( s ) ) for s = 3 .
               
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