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Eccentric connectivity index of composite graphs

Utilitas mathematica, 2014
We present explicit formulas for the values of eccentric connectivity index for several families of composite graphs. The results are applied to some graphs of chemical interest, such as $C_4$ nanotubes and nanotori.
Došlić, Tomislav, Saheli, Mahboubeh
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Augmented eccentric connectivity index of Fullerenes

2014
Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u eV(G)M(u)e(u)-1, where e(u)  is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all ...
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Modified eccentric connectivity index of fullerenes

2015
The eccentric connectivity index of a graph is defined as E(Γ)=∑ueV(Γ)degΓ(u)e(u), where degΓ(u) denotes the degree of the vertex u in Γ and e(u) is the eccentricity of vertex u. In this paper, the modified eccentric connectivity index of two infinite classes of fullerenes is computed.
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Eccentric connectivity index of fullerene graphs

2012
The eccentric connectivity index of the molecular graph is defined as $zeta^c(G)=sum_{uvin E}degG(u)e(u)$ , where degG(x) denotes the degree of the vertex x in G and e(u)=max{d(x,u) |x e V(G)}. In this paper this polynomial is computed for an infinite class of fullerenes.
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On the eccentric connectivity index of k-uniform hyper-cacti

Discrete Applied Mathematics, 2023
Zhongxun Zhu
exaly  

General eccentric connectivity index of trees and unicyclic graphs

Discrete Applied Mathematics, 2020
Tomáš Vetrík, Mesfin Masre
exaly  

The relationship between the eccentric connectivity index and Zagreb indices

Discrete Applied Mathematics, 2013
Hongbo Hua, Kinkar Ch Das
exaly  

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