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Bisectored unit disk graphs

Networks, 2004
AbstractUnit disk graphs form a natural model for cellular radio channel assignment problems under the assumption of equally powerful, omnidirectional transmitters located on a uniform, flat plane. Here, we introduce and give motivation for an extension of this model, namely, sectorization at transmitter sites.
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Perpendicular bisectors and orthogonality

Archiv der Mathematik, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guijarro, P., Tomás, M. S.
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The problem of the angle bisectors

The Mathematics Teacher, 1963
A topic suitable for a high school or college mathematics club or for assignment as a special report by a student in a class in ...
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Angle Bisectors in Normed Linear Spaces

Mathematische Nachrichten, 1987
This paper is a contribution to the body of literature concerning the extension of the notion of angle between vectors in an inner product space to more general normed linear spaces. Here the angle between non- zero vectors x and y is defined by \[ \dot A(x,y)=arc \cos [(1-\| \frac{x}{\| x\|}-\frac{y}{\| y\|}\|^ 2)\quad] \] and the space X is said to ...
Freese, Raymond W.   +2 more
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Bisectors and Spinal Spheres

1999
Abstract We call such hypersurfaces spinal spheres. (Mostow calls a bisector a spinal surface.) Giraud [65] and Mostow [128] describe the structure of bisectors in terms of a foliation by complex hyperplanes orthogonal to the spine σ.
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The perpendicular bisector construction

Geometriae Dedicata, 1995
\textit{J. Langr} veröffentlichte 1953 im Am. Math. Monthly 60, 551 (1953), Problem E 1050, folgende Vermutung: Die Mittellote \(b_i\) auf den Seiten \(a_i\) eines ebenen Vierecks \(Q_1\) mit den Ecken \((a_i a_{i+1})\) -- \(i \text{ mod.}4\) -- (\(\neq\) Sehnenviereck eines Kreises) bilden ein Viereck \(Q_2\) mit den Ecken \((b_i b_{i + 1})\).
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A 2D and 3D discrete bisector function based on annulus

Pattern Analysis and Applications, 2021
Rita Zrour   +2 more
exaly  

On the recognition and reconstruction of weighted Voronoi diagrams and bisector graphs

Computational Geometry: Theory and Applications, 2023
GÜNTHER Eder   +2 more
exaly  

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