English

Strong cospectrality in trees

Combinatorics 2022-06-08 v1

Abstract

We prove that no tree contains a set of three vertices which are pairwise strongly cospectral. This answers a question raised by Godsil and Smith in 2017.

Cite

@article{arxiv.2206.02995,
  title  = {Strong cospectrality in trees},
  author = {Gabriel Coutinho and Emanuel Juliano and Thomás Jung Spier},
  journal= {arXiv preprint arXiv:2206.02995},
  year   = {2022}
}

Comments

13 pages

R2 v1 2026-06-24T11:41:24.849Z