2 citations · 2 across the 12 of their papers we have counts for
13 papers
The Grünbaum--Rigby configuration as a special Kárteszi configuration
Gábor Gévay, György Kiss, Tomaž Pisanski
In 1990, Branko Grünbaum and John Rigby presented a 4-configuration, known today as the \emph{Grünbaum--Rigby configuration}; it is denoted by . Independently an…
The Möbius-Kantor graph is a faithful unit-distance graph
Nino Bašić, Gábor Gévay, Tomaž Pisanski
In this paper, it has been shown that the generalized Petersen graph , also known as the Möbius-Kantor graph, admits a faithful unit-distance representation in t…
Polycyclic Geometric Realizations of the Gray Configuration
Leah Wrenn Berman, Gábor Gévay, Tomaž Pisanski
The Gray configuration is a (27_3) configuration which typically is realized as the points and lines of the 3 x 3 x 3 integer lattice. It occurs as a member of an infinite family o…
Explicit Constructions for Poncelet Polygons
Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert +1
We study the geometric structure of Poncelet -gons from a projective point of view. In particular we present explicit constructions of Poncelet -gons for certain and deri…
When Grünbaum meets Poncelet -- Infinite Classes of Movable Configurations
Leah Wrenn Berman, Gábor Gévay, Jürgen Richter-Gebert +1
We study relations between incidence configurations and the classical Poncelet Porism. Poncelet's result studies two conics and a sequence of points and lines that inscribe…
The Gray graph is a unit-distance graph
Leah Wrenn Berman, Gábor Gévay, Tomaz Pisanski
In this note we give a construction proving that the Gray graph, which is the smallest cubic semi-symmetric graph, is a unit-distance graph.
On a new (21_4) polycyclic configuration
Leah Wrenn Berman, Gábor Gévay, Tomaz Pisanski
When searching for small 4-configurations of points and lines, polycyclic configurations, in which every symmetry class of points and lines contains the same number of elements, ha…
Klein's arrangements of lines and conics
Gábor Gévay, Piotr Pokora
In this paper we construct several arrangements of lines and/or conics that are derived from the geometry of the Klein arrangement of lines in the complex projective plane.
New bounds on the existence of and configurations: the Grünbaum Calculus revisited
Leah Wrenn Berman, Gábor Gévay, Tomaž Pisanski
The "Grünbaum Incidence Calculus" is the common name of a collection of operations introduced by Branko Grünbaum to produce new configurations from various input configur…
Hole operations on Hurwitz maps
Gábor Gévay, Gareth A. Jones
For a given group the orientably regular maps with orientation-preserving automorphism group are used as the vertices of a graph , with undirected and directed edges…
Eventually, geometric configurations exist for all
Leah Wrenn Berman, Gábor Gévay, Tomaž Pisanski
In a series of papers and in his 2009 book on configurations Branko Grünbaum described a sequence of operations to produce new configurations from various input configura…
Point-ellipse and some other exotic configurations
Gábor Gévay, Nino Bašić, Jurij Kovič +1
In this paper we introduce point-ellipse configurations and point-conic configurations. We study some of their basic properties and describe two interesting families of balanced po…
Danzer's configuration revisited
Marko Boben, Gábor Gévay, Tomaž Pisanski
We revisit the configuration of Danzer DCD(4), a great inspiration for our work. This configuration of type (35_4) falls into an infinite series of geometric point-line configurati…