Triangles in arrangements of lines. II

n lines in the real projective plane, no n - 1 of triangular regions formed is at most \tfrac{2}{5}n(n - 1) We also show that if n \geqslant 6 {p_3} \leqslant \tfrac{7}{{18}}n(n - 1) + \tfrac{1}{3} .]]>

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1980-05, Vol.79 (1), p.77-81
Main Author: Purdy, George
Format: Article
Language:English
Subjects:
Discrete mathematics
K lines
Line segments
Mathematical inequalities
Mathematical theorems
Projective geometry
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Summary:n lines in the real projective plane, no n - 1 of triangular regions formed is at most \tfrac{2}{5}n(n - 1) We also show that if n \geqslant 6 {p_3} \leqslant \tfrac{7}{{18}}n(n - 1) + \tfrac{1}{3} .]]>
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1980-0560588-4