Article ID Journal Published Year Pages File Type
4601029 Linear Algebra and its Applications 2012 5 Pages PDF
Abstract

We present a new type of lower bound for the spectral radius of a graph in which m nodes are removed. As a corollary, Cioabă’s theorem [4], which states that the maximum normalized principal eigenvector component in any graph never exceeds (with equality for the star), appears as a special case of our more general result.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory