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21st Cumberland Conference on Graph Theory, Combinatorics, and Computing ---In Honor of Mike Plummer's 70th Birthday
May 15-17, 2008
Vanderbilt University
Nashville, TN, USA

Organizers
Mark Ellingham and Gexin Yu

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The fourth maximal energy of acyclic graphs
by
Xuechao Li
University of Georgia
Coauthors: Shuchao Li, Faculty of Mathematics and Statistics, Central China Normal University, P. R. China

The energy of a graph is defined as the sum of the absolute values of all eigenvalues of the graph. Recently, Gutman, Radenkovi\'c, Li and Li [Extremal energy trees, MATCH Commun. Math. Comput. Chem. 59 (2008) 315-320] conjectured the acyclic graphs with the fourth-maximal energy among n-vertex trees. In this paper, we show that this conjecture is true.

Date received: February 28, 2008

Copyright © 2008 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 # cawn-07.