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Some consequences of an inequality on the spectral multiplicity of graphs
(Filomat, 2013)
Abstract. We present two distinct applications of an inequality relating the multiplicity of an eigenvalue of
a graph to a certain subgraph. The first is related to a recent classification, established by Kim and Shader,
for ...
Radius of univalence of certain class of analytic functions
(Faculty of Sciences and Mathematics, University of Niš, 2013)
Generating Curves of Higher Order Using the Generalisation of Hügelschäffer’ Egg Curve construction
(Timişoara: Editura Politehnica, 2013)
The starting constructions is the well known ellipse construction using the concentric circles c1 and c2. By eccentricity of the center C2 for some value w, and for the preserved center of the transformation in the center ...
Removal of the false targets in the issues of spatial triangulation by projective geometry methods
(Structural Mechanics of Engineering Constructions and Buildings, 2013)
This paper deals with an issue of determination of the spatial coordinates within confined
area in general terms. Mobile air space control stations were set and related to the system of spatial triangulation. As a result ...
Konstruktivni postupci u prostornim transformacijama površi jednogranog eliptičkog hiperboloida / The Constructive procedures in the spatial transformations of the surface elliptical hyperboloid of one sheet
(Универзитет у Београду, Архитектонски факултет, 2013)
Једнограни елиптички хиперболоид (ЈЕХ) је најопштији случај површи двоструке закривљености, из породице правоизводних површи, која настаје клизањем једне трансверзале–генератрисе, дуж три директрисе – мимоилазне праве ...
On the properties of the concave antiprisms of second sort / O osobinama konkavnih antiprizmi druge vrste
(Univerzitet u Beogradu - Mašinski fakultet, Beograd, 2013)
The paper examines geometrical, static and dynamic properties of the polyhedral structures obtained by folding and creasing the two-rowed segment of equilateral triangular net. Bases of these concave polyhedra are regular, ...
Mathematical Principles and Optimal Design Solutions to Compensation for the Pendulum Temperature Dilatation
(Acta Polytechnica Hungarica, 2013)
The paper analyzes the effects of pendulum temperature dilatation on the timepiece running and accounts for the basic mathematical principles that neutralization of these detrimental effects are based upon. Both preliminary ...
A computer verification of a conjecture about the Erdös-Mordell curve
(2013 21st Telecommunications Forum Telfor, TELFOR 2013 - Proceedings of Papers, 2013)
In this paper we consider Erdös-Mordell inequality and its extension in the plane of triangle to the Erdös-Mordell curve. Algebraic equation of this curve is derived, and using modern computer tools in mathematics, we ...
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 ...