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.
Kazemi, R. (2014). The Eccentric Connectivity Index of Bucket Recursive Trees. Iranian Journal of Mathematical Chemistry, 5(2), 77-83. doi: 10.22052/ijmc.2014.5671
MLA
Ramin Kazemi. "The Eccentric Connectivity Index of Bucket Recursive Trees", Iranian Journal of Mathematical Chemistry, 5, 2, 2014, 77-83. doi: 10.22052/ijmc.2014.5671
HARVARD
Kazemi, R. (2014). 'The Eccentric Connectivity Index of Bucket Recursive Trees', Iranian Journal of Mathematical Chemistry, 5(2), pp. 77-83. doi: 10.22052/ijmc.2014.5671
VANCOUVER
Kazemi, R. The Eccentric Connectivity Index of Bucket Recursive Trees. Iranian Journal of Mathematical Chemistry, 2014; 5(2): 77-83. doi: 10.22052/ijmc.2014.5671
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