Article ID Journal Published Year Pages File Type
4600566 Linear Algebra and its Applications 2013 6 Pages PDF
Abstract

We classify all of the trees T, on n vertices, for which there exists a singular matrix A whose graph is T, such that the number of P-vertices is n-2. As a consequence, we will be able to answer in the negative to a question proposed recently by Kim and Shader on the maximal number of P-vertices of a singular acyclic matrix. Several examples are provided.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory