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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 1, Pages 91–101
(Mi dvmg302)
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This article is cited in 2 scientific papers (total in 2 papers)
Asymptotic normality of the Zagreb index of random $b$-ary recursive trees
Q. Feng, Hu Zhishui University of Science and Technology of China, Anhui, Hefei
Abstract:
The $b$-ary recursive trees model is one of simple families of increasing trees.
In this work, the Zagreb index $Z_n$ of a random $b$-ary recursive tree of size $n$ is studied.
As $n\to\infty$, the asymptotic normality of $Z_n$ is established through the martingale central limit theorem,
as well as the asymptotic expressions of the mean and variance of $Z_n$ are given.
Key words:
random tree, Zagreb index, martingale, asymptotic normality.
Received: 11.08.2014
Citation:
Q. Feng, Hu Zhishui, “Asymptotic normality of the Zagreb index of random $b$-ary recursive trees”, Dal'nevost. Mat. Zh., 15:1 (2015), 91–101
Linking options:
https://www.mathnet.ru/eng/dvmg302 https://www.mathnet.ru/eng/dvmg/v15/i1/p91
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Abstract page: | 210 | Full-text PDF : | 79 | References: | 45 |
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