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.
@article{bwmeta1.element.doi-10_7151_dmgt_1761,
author = {Gyula Y. Katona and Morteza Faghani and Ali Reza Ashrafi},
title = {Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes},
journal = {Discussiones Mathematicae Graph Theory},
volume = {34},
year = {2014},
pages = {751-768},
zbl = {1303.05116},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_1761}
}
Gyula Y. Katona; Morteza Faghani; Ali Reza Ashrafi. Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes. Discussiones Mathematicae Graph Theory, Tome 34 (2014) pp. 751-768. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1761/
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