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Infinite families of trees with equal spectral radius

Authors :
Francesco Belardo
Maurizio Brunetti
Source :
Examples and Counterexamples, Vol 5, Iss , Pp 100138- (2024)
Publication Year :
2024
Publisher :
Elsevier, 2024.

Abstract

In this note we show that for each positive integer a⩾2 there exist infinitely many trees whose spectral radius is equal to 2a. Such trees are obtained by replacing the central edge of the double star S(a,2a−2) with suitable bidegreed caterpillars.

Details

Language :
English
ISSN :
2666657X
Volume :
5
Issue :
100138-
Database :
Directory of Open Access Journals
Journal :
Examples and Counterexamples
Publication Type :
Academic Journal
Accession number :
edsdoj.fc466c08740f786e611417c6d7246
Document Type :
article
Full Text :
https://doi.org/10.1016/j.exco.2024.100138