Briana Foster-Greenwood, Cathy Kriloff
Published 2015-02-25Version 1
Renteln proved that the eigenvalues of the distance matrix of a Cayley graph of a real reflection group with respect to the set of all reflections are integral and provided a combinatorial formula for such spectra. We prove the eigenvalues of the distance, adjacency, and codimension matrices of Cayley graphs of complex reflection groups with connection sets consisting of all reflections are integral and provide a combinatorial formula for the codimension spectra for the monomial complex reflection groups.
Comments: 30 pages, 11 tables
Cayley graphs on non-isomorphic groups
On the spectral gap of some Cayley graphs on the Weyl group $W(B_n)$
On the eigenvalues of Cayley graphs on the symmetric group generated by a complete multipartite set of transpositions
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