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.
TY - JOUR
AU - Erić, Aleksandra
AU - da Fonseca, C. M.
PY - 2013
UR - https://grafar.grf.bg.ac.rs/handle/123456789/530
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.
PB - Elsevier B.V.
T2 - Discrete Mathematics
T1 - The maximum number of P-vertices of some nonsingular double star matrices
EP - 2194
IS - 20
SP - 2192
VL - 313
DO - 10.1016/j.disc.2013.05.018
ER -
@article{
author = "Erić, Aleksandra and da Fonseca, C. M.",
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.",
publisher = "Elsevier B.V.",
journal = "Discrete Mathematics",
title = "The maximum number of P-vertices of some nonsingular double star matrices",
pages = "2194-2192",
number = "20",
volume = "313",
doi = "10.1016/j.disc.2013.05.018"
}
Erić, A.,& da Fonseca, C. M.. (2013). The maximum number of P-vertices of some nonsingular double star matrices. in Discrete Mathematics
Elsevier B.V.., 313(20), 2192-2194.
https://doi.org/10.1016/j.disc.2013.05.018
Erić A, da Fonseca CM. 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, da Fonseca, C. M., "The maximum number of P-vertices of some nonsingular double star matrices" in Discrete Mathematics, 313, no. 20 (2013):2192-2194,
https://doi.org/10.1016/j.disc.2013.05.018 . .
