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Infinite families of trees with equal spectral radius
- 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.
- Subjects :
- Graph
Adjacency matrix
Spectral radius
Mathematics
QA1-939
Subjects
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