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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 ...
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 ...
Investigation of Concave Cupolae Based Polyhedral Structures and Their Potential Application in Architecture
(Sarajevo: Society for development of teaching and business processes in New net environment in B&H (DRUNPP), 2013)
Concave cupolae of second sort, combined with the other regular faced polyhedra with at least one matching side, provide many possibilities for the formation of various composite polyhedra. The
paper presents research on ...
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 ...
Geometry of twisted surfaces applied on horizontal communications in architecture / Geometrija spiralnih površi primenjena na horizontalne komunikacije u arhitekturi
(Udruženje inženjera građevinarstva, geotehnike, arhitekture i urbanista "Izgradnja", Beograd, 2013)
Contemporary technologies and materials continuously challenge structural designers, as well as architects, to achieve unique applications of various geometric surfaces. Twisted structures are actual and numerous in building ...
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 ...
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 ...