On the spectral gap of some Cayley graphs on the Weyl group $W(B_n)$

Filippo Cesi

The Laplacian of a (weighted) Cayley graph on the Weyl group $W(B_n)$ is a $N\times N$ matrix with $N=2^{n}n!$ equal to the order of the group. We show that for a class of (weight…