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Maximal energy graphs
by
Vincent Moulton
Mid Sweden University
Coauthors: Jack Koolen (University of Wisconsin)
Given a graph G its energy E(G) is defined to be the sum of the absolute values of the eigenvalues of G. The concept of the energy of a graph was introduced by I. Gutman due to its applications in chemistry to the total \pi-electron energy of a molecular graph. In this paper, we describe a novel upper bound for the energy of a graph and give an infinite family of graphs for which this bound is sharp.
Date received: October 29, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cahf-40.