23 citations · 26 across the 3 of their papers we have counts for
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math.CO2018★ 1 cited
On the spectral gap of some Cayley graphs on the Weyl group
Filippo Cesi
The Laplacian of a (weighted) Cayley graph on the Weyl group is a matrix with equal to the order of the group. We show that for a class of (weight…
math.CO2009★ 2 cited
Cayley graphs on the symmetric group generated by initial reversals have unit spectral gap
Filippo Cesi
In a recent paper Gunnells, Scott and Walden have determined the complete spectrum of the Schreier graph on the symmetric group corresponding to the Young subgroup $S_{n-2}\times S…
math.CO2009★ 23 cited
On the eigenvalues of Cayley graphs on the symmetric group generated by a complete multipartite set of transpositions
Filippo Cesi
Given a finite simple graph $\cG$ with vertices, we can construct the Cayley graph on the symmetric group generated by the edges of $\cG$, interpreted as transpositions.…