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Nonsingular acyclic matrices with full number of P-vertices

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Authors
Andelić, Milica
Erić, Aleksandra
da Fonseca, C. M.
Article (Published version)
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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.
Keywords:
graph / eigenvalues / acyclic matrices / P-vertices / P-sets
Source:
Linear & Multilinear Algebra, 2013, 61, 1, 49-57
Projects:
  • Center for Research and Development in Mathematics and Applications
  • Fundacao para a Ciencia e a Tecnologia through European Program COMPETE/FEDER
  • Serbian Ministry of Education and Science
  • Centro de Matematica da Universidade de Coimbra
  • Graph theory and mathematical programming with applications in chemistry and computer science (RS-174033)

DOI: 10.1080/03081087.2012.661425

ISSN: 0308-1087

WoS: 000311777000005

Scopus: 2-s2.0-84870986097
[ Google Scholar ]
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URI
http://grafar.grf.bg.ac.rs/handle/123456789/518
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  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
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