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