TY - JOUR
ID - 5671
TI - The Eccentric Connectivity Index of Bucket Recursive Trees
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Kazemi, Ramin
AD - Imam Khomeini international university
Y1 - 2014
PY - 2014
VL - 5
IS - 2
SP - 77
EP - 83
KW - Bucket recursive trees
KW - eccentric connectivity index
KW - Convergence in probability
KW - Asymptotic normality
DO - 10.22052/ijmc.2014.5671
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_5671.html
L1 - https://ijmc.kashanu.ac.ir/article_5671_c75e8f8a191feb37be45cb549d22b33b.pdf
ER -