geometric incidences
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On totally positive matrices and geometric incidences

Journal of Combinatorial Theory Series A ◽

10.1016/j.jcta.2014.08.004 ◽

2014 ◽

Vol 128 ◽

pp. 149-161 ◽

Cited By ~ 4

Author(s):

Miriam Farber ◽

Saurabh Ray ◽

Shakhar Smorodinsky

Keyword(s):

Totally Positive ◽

Positive Matrices ◽

Geometric Incidences ◽

Totally Positive Matrices

On a Question of Bourgain about Geometric Incidences

Combinatorics Probability Computing ◽

10.1017/s0963548308009127 ◽

2008 ◽

Vol 17 (4) ◽

pp. 619-625 ◽

Cited By ~ 3

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.