Authors: Damnjanović, Ivan
Filipovski, Slobodan
Stevanović, Dragan 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Spectral properties of balanced trees and dendrimers
Journal: Linear Algebra and Its Applications
Volume: 657
First page: 163
Last page: 196
Issue Date: 2023
Rank: ~M21
ISSN: 0024-3795
DOI: 10.1016/j.laa.2022.10.020
We investigate the spectral properties of balanced trees and dendrimers, with a view toward unifying and improving the existing results. Here we find a semi-factorized formula for their characteristic polynomials. Afterwards, we determine their spectra via the aforementioned factors. In the end, we analyze the behavior of the energy of dendrimers and compute lower and upper bound approximations for it.
Keywords: Balanced tree | Characteristic polynomial | Dendrimer | Graph energy | Spectrum
Publisher: Elsevier

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