Spectral properties of balanced trees and dendrimers
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909208308350976 |
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| author | Damnjanović, Ivan Filipovski, Slobodan Stevanović, Dragan |
| author_facet | Damnjanović, Ivan Filipovski, Slobodan Stevanović, Dragan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_08337 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spectral properties of balanced trees and dendrimers Damnjanović, Ivan Filipovski, Slobodan Stevanović, Dragan Combinatorics 05C50, 05C05, 05C92, 40A05 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. |
| title | Spectral properties of balanced trees and dendrimers |
| topic | Combinatorics 05C50, 05C05, 05C92, 40A05 |
| url | https://arxiv.org/abs/2210.08337 |