Article ID Journal Published Year Pages File Type
4603531 Linear Algebra and its Applications 2007 6 Pages PDF
Abstract

Let G be a graph of order n and let be the characteristic polynomial of its Laplacian matrix. Zhou and Gutman recently proved that among all trees of order n, the kth coefficient ck is largest when the tree is a path, and is smallest for stars. A new proof and a strengthening of this result is provided. A relation to the Wiener index is discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory