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Taylor and Francis Group, Linear and Multilinear Algebra, 1(61), p. 49-57, 2013

DOI: 10.1080/03081087.2012.661425

Taylor and Francis Group, Linear and Multilinear Algebra, 8(61), p. 1159-1160

DOI: 10.1080/03081087.2013.794619

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Nonsingular acyclic matrices with full number of P-vertices

Journal article published in 2012 by Milica Anđelić ORCID, Aleksandra Erić, C. M. da Fonseca
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We classify the trees for which there is a nonsingular matrix where each vertex is a P-vertex. In particular, we show that such trees have an even number of vertices. Both results provide answers to questions proposed by Kim and Shader. In the end, related classifications on nonsingular trees with the size of a P-set bounded are addressed.