Geodesic
A New Method for Computing the Eccentric Connectivity Index of Fullerenes
Serdica Journal of Computing, Tome 6 (2012) no. 3, pp. 299-308.

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The eccentric connectivity index of the molecular graph G, ξ^c (G), was proposed by Sharma, Goswami and Madan. It is defined as ξ^c (G) = Σu∈V(G)degG(u) ecc(u), where degG(x) denotes the degree of the vertex x in G and ecc(u) = Max{d(x, u) | x ∈ V (G)}. In this paper this graph invariant is computed for an infinite class of fullerenes by means of group action.
Keywords: Eccentric Connectivity Index, Eccentricity, Fullerene, Diameter of Graph 
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Ghorbani, Modjtaba; Malekjani, Khadijeh. A New Method for Computing the Eccentric Connectivity Index of Fullerenes. Serdica Journal of Computing, Tome 6 (2012) no. 3, pp. 299-308. http://geodesic.mathdoc.fr/item/SJC_2012_6_3_a3/