@article {
author = {Kazemi, Ramin},
title = {The Eccentric Connectivity Index of Bucket Recursive Trees},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {5},
number = {2},
pages = {77-83},
year = {2014},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2014.5671},
abstract = {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.},
keywords = {Bucket recursive trees,eccentric connectivity index,Convergence in probability,Asymptotic normality},
url = {https://ijmc.kashanu.ac.ir/article_5671.html},
eprint = {https://ijmc.kashanu.ac.ir/article_5671_c75e8f8a191feb37be45cb549d22b33b.pdf}
}