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» On the Number of Halving Planes
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COMPGEOM
1989
ACM
15 years 1 months ago
On the Number of Halving Planes
Imre Bárány, Zoltán Füre...
ENDM
2008
81views more  ENDM 2008»
14 years 9 months ago
The maximum number of halving lines and the rectilinear crossing number of Kn for n
For n 27 we present exact values for the maximum number h(n) of halving lines and h(n) of halving pseudolines, determined by n points in the plane. For this range of values of n ...
Bernardo M. Ábrego, Silvia Fernández...
DCG
2006
97views more  DCG 2006»
14 years 9 months ago
k-Sets in Four Dimensions
We show, with an elementary proof, that the number of halving simplices in a set of n points in R4 in general position is O(n4-2/45). This improves the previous bound of O(n4-1/13...
Jirí Matousek, Micha Sharir, Shakhar Smorod...
COMPGEOM
2009
ACM
15 years 4 months ago
Halving lines and measure concentration in the plane
Given a set of n points in the plane and a collection of k halving lines of P â„“1, . . . , â„“k indexed according to the increasing order of their slopes, we denote by d(â„“j, â„...
Rom Pinchasi
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