Document Type : Research Paper
Department of Statistics, Imam Khomeini International University, Qazvin, Iran
Department of Pure Mathematics, Imam Khomeini International University, Qazvin, Iran
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.