Article ID Journal Published Year Pages File Type
4602385 Linear Algebra and its Applications 2008 7 Pages PDF
Abstract

A connected graph G=(V,E) is called a quasi-tree, if there exists u0∈V(G) such that G-u0 is a tree. Denote Q(n,d0)={G:Gis a quasi-tree graph of ordernwithG-u0being a tree anddG(u0)=d0}. In this paper, we determined the maximal and the second maximal spectral radii of all quasi-tree graphs in the set Q(n,d0).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory