Centrosymmetric Graphs And A Lower Bound For Graph Energy Of Fullerenes
Gyula Y. Katona, Morteza Faghani, Ali Reza Ashrafi (2014)
Discussiones Mathematicae Graph Theory
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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.