Article ID Journal Published Year Pages File Type
4602862 Linear Algebra and its Applications 2009 5 Pages PDF
Abstract

The energy of a digraph D is defined as , where z1,…,zn are the (possibly complex) eigenvalues of D. In this article we extend to general digraphs McClelland’s inequality for the energy of a graph; we also determine sharp upper bounds for the energy of a digraph in terms of the number of arcs.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory