论文标题

平衡树木和树枝状聚合物的光谱特性

Spectral properties of balanced trees and dendrimers

论文作者

Damnjanović, Ivan, Filipovski, Slobodan, Stevanović, Dragan

论文摘要

我们研究了平衡的树木和树枝状聚合物的光谱特性,以期统一和改善现有结果。在这里,我们找到了一个半因子公式,用于其特征多项式。之后,我们通过上述因素确定它们的光谱。最后,我们分析了树枝状聚合物能量的行为,并计算了它的下限和上限近似值。

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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