Spectra of semi-regular polytopes
Combinatorics
2007-05-23 v1
Abstract
We compute the spectra of the adjacency matrices of the semi-regular polytopes. A few different techniques are employed: the most sophisticated, which relates the 1-skeleton of the polytope to a Cayley graph, is based on methods akin to those of Lov\'asz and Babai ([L], [B]). It turns out that the algebraic degree of the eigenvalues is at most 5, achieved at two 3-dimensional solids.
Cite
@article{arxiv.math/9712252,
title = {Spectra of semi-regular polytopes},
author = {Nicolau C. Saldanha and Carlos Tomei},
journal= {arXiv preprint arXiv:math/9712252},
year = {2007}
}