Spectral properties of balanced trees and dendrimers
Combinatorics
2024-05-24 v1
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
Cite
@article{arxiv.2210.08337,
title = {Spectral properties of balanced trees and dendrimers},
author = {Ivan Damnjanović and Slobodan Filipovski and Dragan Stevanović},
journal= {arXiv preprint arXiv:2210.08337},
year = {2024}
}