Results 211 to 220 of about 44,379 (259)
Matroid Enumeration for Incidence Geometry [PDF]
Discrete and Computational Geometry, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sonoko Moriyama +2 more
exaly +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On the foundations of incidence geometry
Geometriae Dedicata, 1988Diagram geometries and chamber systems of various types have been used and investigated intensively in recent years - not only in finite group theory, but in other areas as well. This development has led to a need for some clarification of the variations and generalizations introduced by the many authors, and for a discussion of the different axiomatic
Buekenhout, Francis, Buset, Dominique
openaire +3 more sources
Incidence geometry and universality in the tropical plane [PDF]
Journal of Combinatorial Theory - Series A, 2018 We examine the incidence geometry of lines in the tropical plane. We prove tropical analogs of the Sylvester-Gallai and Motzkin-Rabin theorems in classical incidence geometry. This study leads naturally to a discussion of the realizability of incidence data of tropical lines. Drawing inspiration from the von Staudt constructions and Mnëv's universality
Dhruv Ranganathan
exaly +4 more sources
Modal logics for incidence geometries
Journal of Logic and Computation, 1997Let \(S=(P,L,\text{in})\) be an incidence plane by the well-known axioms: \(P,L\neq\emptyset\); \(\text{in}\subseteq P\times L\); \(P\cap L=\emptyset\); two points are together incident with one and only one line; each line contains at least two different points; each point belongs at least to two different lines.
Philippe Balbiani +3 more
openaire +2 more sources
On the Incidence Geometry of Grassmann Spaces
Geometriae Dedicata, 1999The main result is a characterization of the Grassmann space \({\mathbf G}\) of a projective space \(\mathcal P\). By definition, the point set \(P\) of \({\mathbf G}\) is the set of lines of \(\mathcal P\), the line set \(\mathcal L\) of \({\mathbf G}\) consists of all plane line pencils in \(\mathcal P\).
FERRARA DENTICE, Eva, MELONE N.
openaire +2 more sources
Ruled Surface Theory and Incidence Geometry [PDF]
, 2017 This is an expository paper about applications of ruled surface theory in incidence geometry. It surveys the results that have been proven, gives an overview of the methods, and discusses some open problems and further directions. It will appear in the book Journey Through Discrete Mathematics, a Tribute to Jiri Matousek, edited by Martin Loebl ...
Larry Guth, Guth Larry
exaly +3 more sources
The pentagon relation and incidence geometry [PDF]
Journal of Mathematical Physics, 2014 We define a map \documentclass[12pt]{minimal}\begin{document}$S:{\mathbb {D}}^2\times {\mathbb {D}}^2 \dashrightarrow {\mathbb {D}}^2\times {\mathbb {D}}^2$\end{document}S:D2×D2⤏D2×D2, where \documentclass[12pt]{minimal}\begin{document}${\mathbb {D}}$\end{document}D is an arbitrary division ring (skew field), associated with the Veblen configuration ...
Adam Doliwa +2 more
exaly +3 more sources
1981
In this section we shall define the notions of an abstract geometry and an incidence geometry. These are given by listing a set of axioms that must be satisfied. After the definitions are made, we will give a number of examples which will serve as models for these geometries.
Richard S. Millman, George D. Parker
openaire +1 more source
In this section we shall define the notions of an abstract geometry and an incidence geometry. These are given by listing a set of axioms that must be satisfied. After the definitions are made, we will give a number of examples which will serve as models for these geometries.
Richard S. Millman, George D. Parker
openaire +1 more source
FORMALIZATION OF HILBERT'S GEOMETRY OF INCIDENCE AND PARALLELISM
Synthese, 1997The author first describes how \textit{D. Hilbert} changed the phrasing of his axioms of incidence in the various early editions of his Grundlagen der Geometrie [(Teubner, Leipzig) (1899; JFM 30.0424.01); second edition (1903; JFM 34.0523.01); seventh edition (1930; JFM 56.0481.01)], in which ``bestimmen'' gave way to ``es gibt''.
openaire +2 more sources