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» On Line Arrangements in the Hyperbolic Plane
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COMBINATORICS
2006
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14 years 9 months ago
Cubic Partial Cubes from Simplicial Arrangements
We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudolines in the projective plane. As a consequence, we find nine new infinite families...
David Eppstein
WG
1998
Springer
15 years 1 months ago
Triangles in Euclidean Arrangements
The number of triangles in arrangements of lines and pseudolines has been object of some research. Most results, however, concern arrangements in the projective plane. In this arti...
Stefan Felsner, Klaus Kriegel
COMPGEOM
1994
ACM
15 years 1 months ago
Computing Many Faces in Arrangements of Lines and Segments
We present randomized algorithms for computing many faces in an arrangement of lines or of segments in the plane, which are considerably simpler and slightly faster than the previo...
Pankaj K. Agarwal, Jirí Matousek, Otfried S...
COMPGEOM
1996
ACM
15 years 1 months ago
On the Number of Arrangements of Pseudolines
Given a simple arrangementof n pseudolines in the Euclidean plane, associate with line i the list i of the lines crossing i in the order of the crossings on line i. i = ( i 1; i 2;...
Stefan Felsner
COMPGEOM
2001
ACM
15 years 1 months ago
Efficient and small representation of line arrangements with applications
This paper addresses the problem of lossy compression of arrangements. Given an arrangement of n lines in the plane, we show how to construct another arrangement consisting of man...
David P. Dobkin, Ayellet Tal