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Bibliographic Details
Main Authors: Boyko, Olga, Martynyuk, Olga, Pivovarchik, Vyacheslav
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2211.11280
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Table of Contents:
  • Spectral problems are considered generated by the Sturm-Liouville equation on equilateral trees with the Dirichlet boundary conditions at the pendant vertices and continuity and Kirchhoff's conditions at the interior vertices. It is proved that there are no co-spectral (i.e., having the same spectrum of such problem) among equilateral trees of less or equal 8 vertices. All co-spectral trees of 9 vertices are presented.