شماره ركورد كنفرانس :
4109
عنوان مقاله :
random ordinary and $b$-ary recursive trees
پديدآورندگان :
Norouzi S Department of Statistics, Alborz University, Qazvin, Iran
كليدواژه :
Recursive tree , b , ary recursive tree , Zagreb index , Martingale , Asymptotic normality
عنوان كنفرانس :
يازدهمين سمينار ملي احتمال و فرآيندهاي تصادفي
چكيده فارسي :
The first Zagreb index Z(G) of graph G is defined as Z(G) = ∑ (d(v))^2, where d(v) denotes the degree of the vertex v in G. As n →∞, the asymptotic normality of Zn is established through the martingale central limit theorem, as well as the asymptotic expressions of
the mean and variance of Zn for random recursive trees and random b-ary recursive trees
