Geodesic
Centrosymmetric graphs and a lower bound for graph energy of fullerenes
Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 751-768.

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The energy of a molecular graph G is defined as the summation of the absolute values of the eigenvalues of adjacency matrix of a graph G. In this paper, an infinite class of fullerene graphs with 10n vertices, n ≥ 2, is considered. By proving centrosymmetricity of the adjacency matrix of these fullerene graphs, a lower bound for its energy is given. Our method is general and can be extended to other class of fullerene graphs.
Keywords: centrosymmetric matrix, fullerene graph, energy 
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Katona, Gyula Y.; Faghani, Morteza; Ashrafi, Ali Reza. Centrosymmetric graphs and a lower bound for graph energy of fullerenes. Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 751-768. http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a7/

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