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Arrangement (space partition)

Known as: Arrangement (disambiguation), Pseudoline 
In discrete geometry, an arrangement is the decomposition of the d-dimensional linear, affine, or projective space into connected open cells of lower… 
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Computational geometryComputer visionMotion planning

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2014
Review
2014
On the Pseudolinear Crossing Number
A drawing of a graph is pseudolinear if there is a pseudoline arrangement such that each pseudoline contains exactly one edge of… 
2012
2012
Some Results Related to a Conjecture of Dirac's
We demonstrate an innite family of pseudoline arrangements, in which an arrangement of n pseudolines has no member incident to… 
2012
2012
Pseudoline arrangements and the Inverse Boundary Value Problem in Nonlinear Electrical Networks
We consider the inverse boundary value problem in the case of discrete electrical networks containing nonlinear (non-ohmic… 
2010
2010
Segment Orders
We study two kinds of segment orders, using definitions first proposed by Farhad Shahrokhi. Although the two kinds of segment… 
2008
2008
The best polynomial bounds for the number of triangles in a simple arrangement of n pseudo-lines
It is well-known and easy to observe that affine (respectively projective) simple arrangement of n pseudo-lines may have at most… 
2003
2003
Extremal Configurations and Levels in Pseudoline Arrangements
This paper studies a variety of problems involving certain types of extreme configurations in arrangements of (x-monotone) pseudo… 
2001
2001
On reconstructing arrangements from their sets of simplices
1997
1997
Cell Decompositions of the Projective Plane with Petrie Polygons of Constant Length
Abstract. We study dual pairs of combinatorial face-to-face cell decompositions $({\cal D}_{P^2},{\cal D}^*_{P^2})$ of the real… 
1994
1994
On Recent Progress in Computational Synthetic Geometry
Computational Synthetic Geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. A general… 
1993
1993
Representation of Data by Pseudoline Arrangements
Formal contexts are under certain conditions representable by oriented pseudoline arrangements. Oriented pseudoline arrangements… 
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