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arXiv · 2210.08337

Spectral properties of balanced trees and dendrimers

Ivan Damnjanović·Slobodan Filipovski·Dragan Stevanović
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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.

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Ivan Damnjanović, Slobodan Filipovski, Dragan Stevanović. 2022-10-15. Spectral properties of balanced trees and dendrimers. https://doi.org/10.1016/j.laa.2022.10.020

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