| 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 | Abstract: | 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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| DStevanovic.pdf | 412.44 kB | Adobe PDF | View/Open |
Page view(s)
24
checked on Nov 8, 2024
Download(s)
2
checked on Nov 8, 2024
Google ScholarTM
Check
Altmetric
Altmetric
This item is licensed under a Creative Commons License
