The maximum number of P-vertices of some nonsingular double star matrices
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In this short note, we construct a nonsingular matrix A whose graph is a double star of order
n > 4 with n − 2 P-vertices. This example leads to a positive answer, for n > 6, to a last
open question proposed recently by Kim and Shader regarding the trees for which each
nonsingular matrix has at most n − 2 P-vertices.
Keywords:
Graphs Matrices Eigenvalues Double stars P-verticesSource:
Discrete Mathematics, 2013, 313 (20) 2192-2194Collections
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GraFarTY - JOUR AU - Erić, Aleksandra Lj. AU - da Fonseca, Carlos PY - 2013 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3174 AB - In this short note, we construct a nonsingular matrix A whose graph is a double star of order n > 4 with n − 2 P-vertices. This example leads to a positive answer, for n > 6, to a last open question proposed recently by Kim and Shader regarding the trees for which each nonsingular matrix has at most n − 2 P-vertices. T2 - Discrete Mathematics T1 - The maximum number of P-vertices of some nonsingular double star matrices VL - 313 (20) 2192-2194 DO - 10.1016/j.disc.2013.05.018 ER -
@article{ author = "Erić, Aleksandra Lj. and da Fonseca, Carlos", year = "2013", abstract = "In this short note, we construct a nonsingular matrix A whose graph is a double star of order n > 4 with n − 2 P-vertices. This example leads to a positive answer, for n > 6, to a last open question proposed recently by Kim and Shader regarding the trees for which each nonsingular matrix has at most n − 2 P-vertices.", journal = "Discrete Mathematics", title = "The maximum number of P-vertices of some nonsingular double star matrices", volume = "313 (20) 2192-2194", doi = "10.1016/j.disc.2013.05.018" }
Erić, A. Lj.,& da Fonseca, C.. (2013). The maximum number of P-vertices of some nonsingular double star matrices. in Discrete Mathematics, 313 (20) 2192-2194. https://doi.org/10.1016/j.disc.2013.05.018
Erić AL, da Fonseca C. The maximum number of P-vertices of some nonsingular double star matrices. in Discrete Mathematics. 2013;313 (20) 2192-2194. doi:10.1016/j.disc.2013.05.018 .
Erić, Aleksandra Lj., da Fonseca, Carlos, "The maximum number of P-vertices of some nonsingular double star matrices" in Discrete Mathematics, 313 (20) 2192-2194 (2013), https://doi.org/10.1016/j.disc.2013.05.018 . .