%0 Journal Article
%T The Eccentric Connectivity Index of Bucket Recursive Trees
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Kazemi, Ramin
%D 2014
%\ 11/01/2014
%V 5
%N 2
%P 77-83
%! The Eccentric Connectivity Index of Bucket Recursive Trees
%K Bucket recursive trees
%K eccentric connectivity index
%K Convergence in probability
%K Asymptotic normality
%R 10.22052/ijmc.2014.5671
%X If $G$ is a connected graph with vertex set $V$, then the eccentric connectivity index of $G$, $xi^c(G)$, is defined as $sum_{vin V(G)}deg(v)ecc(v)$ where $deg(v)$ is the degree of a vertex $v$ and $ecc(v)$ is its eccentricity. In this paper we show some convergence in probability and an asymptotic normality based on this index in random bucket recursive trees.
%U https://ijmc.kashanu.ac.ir/article_5671_c75e8f8a191feb37be45cb549d22b33b.pdf