| 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 |
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|---|---|---|---|---|
| DStevanovic.pdf | 412.44 kB | Adobe PDF | View/Open |
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