Centrosymmetric graphs and a lower bound for graph energy of fullerenes

Katona, Gyula Y. and Faghani, M. and Ashrafi, A. R. (2014) Centrosymmetric graphs and a lower bound for graph energy of fullerenes. DISCUSSIONES MATHEMATICAE GRAPH THEORY, 34 (4). pp. 751-768. ISSN 1234-3099

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Abstract

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.

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