树结构的Hosoya指数

IF 0.6 Q3 MATHEMATICS Transactions on Combinatorics Pub Date : 2020-09-01 DOI:10.22108/TOC.2020.121874.1713

R. Kazemi, A. Behtoei

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引用次数: 1

摘要

图的细谷指数(Hosoya index)，也称为Z指数(Z index)，是图中匹配的总数。在本文中，我们研究了树形结构的Hosoya指数。我们的目标是在这种结构中给出一些关于Z的斐波那契数的结果。并给出了该指标的渐近正态性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hosoya index of tree structures

‎‎‎The Hosoya index‎, ‎also known as the $Z$ index‎, ‎of a graph is the‎ ‎total number of matchings in it‎. ‎In this paper‎, ‎we study the Hosoya index of the tree structures‎. ‎Our aim is to give some results on $Z$ in terms of Fibonacci numbers‎ ‎in such structures‎. ‎Also‎, ‎the asymptotic normality of this index is given‎.

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