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math.CO2008★ 6 cited
The best polynomial bounds for the number of triangles in a simple arrangement of n pseudo-lines
Jérémy Blanc
It is well-known that affine (respectively projective) simple arrangements of n pseudo-lines may have at most n(n-2)/3 (respectively n(n-1)/3) triangles. However, these bounds are…
math.CO2007
On simple arrangements of lines and pseudo-lines in P^2 and R^2 with the maximum number of triangles
Nicolas Bartholdi, Jérémy Blanc, Sébastien Loisel
We give some new advances in the research of the maximum number of triangles that we may obtain in a simple arrangements of n lines or pseudo-lines.