Hosoya index of tree structures

Document Type: Research Paper

Authors

1 Department of Statistics, Imam Khomeini International University, Qazvin, Iran

2 Department of Pure Mathematics, Imam Khomeini International University, Qazvin, Iran

10.22108/toc.2020.121874.1713

Abstract

‎‎‎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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