Cayley 图中强余谱顶点的大集合
组合数学
2023-01-03 v4
摘要
强余谱性是图顶点集上的一个等价关系,在研究图中的量子态转移时具有重要意义。我们构造了阿贝尔 Cayley 图族,其中相互强余谱的顶点个数可以任意大。
引用
@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}
}
备注
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