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The maximum number of P-vertices of some nonsingular double star matrices
(Discrete Mathematics, 2013)
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 ...
On the difference of coefficients of univalent functions
(Faculty of Sciences and Mathematics, University of Niš, Serbia, 2021)
Managing rail service life
(Croatian Metallurgical Society, 2014)
The service life Of tails depends especially on the operational loads and speeds on the railway lines; as well as on the rail maintenance policy. There are multiple aspects of rail maintenance optimization. The following ...
Unordered multiplicity lists of wide double paths
(DMFA Slovenije, 2013)
Recently, Kim and Shader analyzed the multiplicities of the eigenvalues of a Φ-binary tree. We carry this discussion forward extending their results to a larger family of trees, namely, the wide double path, a tree consisting ...
Nonsingular acyclic matrices with full number of P-vertices
(Taylor & Francis Ltd, 2013)
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 ...
Hankel determinants of second and third order for the class S of univalent functions
(Slovak Academy of Sciences, Mathematical Institute, 2021)
In this paper we give the upper bounds of the Hankel determinants of the second and
third order for the class S of univalent functions in the unit disc.
On the extension of the Erdös-Mordell type inequalities
(Mathematical Inequalities & Applications, 2014)
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell ...
Properties of the quantum state arising after the l-photon state has passed trough a linear quantum amplifier
(Publishing House of the Romanian Academy, 2021)
Abstract. We consider the system of N two-level atoms, of which N0 atoms are
unexcited and N1 are excited. This system of N two-level atoms, which forms a linear
quantum amplifier, interacts with a single-mode electromagnetic ...
Disk of univalence of the ratio of two analytic functions
(Taylor and Francis Group, 2015)