Nonsingular acyclic matrices with full number of P-vertices
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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.
Извор:
Linear and Multilinear Algebra, 2013, 61(1),49-57Издавач:
- Taylor & Francis Ltd
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GraFarTY - JOUR AU - Anđelić, Milica AU - Erić, Aleksandra Lj. AU - da Fonseca, Carlos PY - 2013 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3176 AB - 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. PB - Taylor & Francis Ltd T2 - Linear and Multilinear Algebra T1 - Nonsingular acyclic matrices with full number of P-vertices VL - 61(1),49-57 DO - 10.1080/03081087.2012.661425 ER -
@article{ author = "Anđelić, Milica and Erić, Aleksandra Lj. and da Fonseca, Carlos", year = "2013", 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.", publisher = "Taylor & Francis Ltd", journal = "Linear and Multilinear Algebra", title = "Nonsingular acyclic matrices with full number of P-vertices", volume = "61(1),49-57", doi = "10.1080/03081087.2012.661425" }
Anđelić, M., Erić, A. Lj.,& da Fonseca, C.. (2013). Nonsingular acyclic matrices with full number of P-vertices. in Linear and Multilinear Algebra Taylor & Francis Ltd., 61(1),49-57. https://doi.org/10.1080/03081087.2012.661425
Anđelić M, Erić AL, da Fonseca C. Nonsingular acyclic matrices with full number of P-vertices. in Linear and Multilinear Algebra. 2013;61(1),49-57. doi:10.1080/03081087.2012.661425 .
Anđelić, Milica, Erić, Aleksandra Lj., da Fonseca, Carlos, "Nonsingular acyclic matrices with full number of P-vertices" in Linear and Multilinear Algebra, 61(1),49-57 (2013), https://doi.org/10.1080/03081087.2012.661425 . .