Geometric incidences

2004 ◽  
pp. 185-223 ◽  
Author(s):  
János Pach ◽  
Micha Sharir
Keyword(s):  
Geometric Incidences

scholarly journals On a Question of Bourgain about Geometric Incidences

2008 ◽  
Vol 17 (4) ◽  
pp. 619-625 ◽  
Author(s):  
JÓZSEF SOLYMOSI ◽  
CSABA D. TÓTH
Keyword(s):  
Euclidean Space ◽  
Three Dimensional ◽  
Dimensional Euclidean Space ◽  
Geometric Incidences

Given a set of s points and a set of n2 lines in three-dimensional Euclidean space such that each line is incident to n points but no n lines are coplanar, we show that s = Ω(n11/4). This is the first non-trivial answer to a question recently posed by Jean Bourgain.

scholarly journals On totally positive matrices and geometric incidences

2014 ◽  
Vol 128 ◽  
pp. 149-161 ◽  
Author(s):  
Miriam Farber ◽  
Saurabh Ray ◽  
Shakhar Smorodinsky
Keyword(s):  
Totally Positive ◽  
Positive Matrices ◽  
Geometric Incidences ◽  
Totally Positive Matrices
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