The Spectrum of Cayley Graphs on Symmetric Group Generated by Certain Subset of r-Cycles

Let S-n be the symmetric group on n] = {1, 2,..., n} and C-n(r) be the set of all r -cycles in S-n that do not fix 1, i.e., C-n(r) = {alpha is an element of S-n vertical bar alpha(1) not equal 1 and ais an r-cycle}. In this paper, we give a reduction formula of the eigenvalues of the Cayley graph Ga...

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Bibliographic Details
Main Authors: Lau, Terry Shue Chien, Wong, Kok Bin
Format: Article
Published: Springer Singapore 2022
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Online Access:http://eprints.um.edu.my/40457/
https://doi.org/10.1007/s41980-022-00680-5
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