English

Coxeter Polynomials of Salem trees

Spectral Theory 2015-09-30 v2 Combinatorics

Abstract

We compute the Coxeter polynomial of a family of Salem trees, and also the limit of the spectral radii of their Coxeter transformations as the number of their vertices tends to infinity. We also prove a relation about multiplicities of eigenvalues of Coxeter transformations of joins of trees.

Keywords

Cite

@article{arxiv.1401.3128,
  title  = {Coxeter Polynomials of Salem trees},
  author = {Charalampos A. Evripidou},
  journal= {arXiv preprint arXiv:1401.3128},
  year   = {2015}
}

Comments

9 pages

R2 v1 2026-06-22T02:44:50.707Z