Hosoya index of tree structures

نویسندگان
Faal, Hossein Teimoori ID 1

1 Department of Mathematics and Computer Science, Allameh Tabatabai University, Tehran, Iran.

doi
10.22108/toc.2020.121874.1713
چکیده

‎‎‎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.

کلیدواژه‌ها
‎‎‎Hosoya index‎, ‎tree structures‎, ‎average‎, ‎variance‎, ‎asymptotic normality