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New Zealand Mathematics Colloquium 2001
December 3-6, 2001
Massey University
Palmerston North, New Zealand

Organizers
Dr I. Boglaev, Dr M. Carter, Dr J. Hudson, Dr C. Little (convenor), Ass. Prof R. McLachlan, Ass. Prof C. Lai

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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 Conferences Inc. Document # cahf-40.