Large sets of strongly cospectral vertices in Cayley graphs
Combinatorics
2023-01-03 v4
Abstract
Strong cospectrality is an equivalence relation on the set of vertices of a graph that is of importance in the study of quantum state transfer in graphs. We construct families of abelian Cayley graphs in which the number of mutually strongly cospectral vertices can be arbitrarily large.
Cite
@article{arxiv.2207.05211,
title = {Large sets of strongly cospectral vertices in Cayley graphs},
author = {Peter Sin},
journal= {arXiv preprint arXiv:2207.05211},
year = {2023}
}
Comments
7 pages, v2. minor corrections, added reference and remarks. v3. fixed typos, v4. 9 pages. Substantial revision with additional commentary, details in proofs, and references