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- W2017820487 abstract "Grünbaum has conjectured that any arrangement ofnpseudolines in the real projective plane has at most 13n(n−1) triangular faces whennis sufficiently large. We prove this conjecture forn⩾9; the result does not hold forn⩽8. The structure of extremal examples is explored and an infinite family of non simple arrangements with 13n(n−1) triangles is constructed. As an application, we show that the number of simplices in arrangements ofn⩾10 pseudoplanes is always less than[formula]." @default.
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- W2017820487 date "1996-01-01" @default.
- W2017820487 modified "2023-09-28" @default.
- W2017820487 title "The Maximum Number of Triangles in Arrangements of Pseudolines" @default.
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- W2017820487 doi "https://doi.org/10.1006/jctb.1996.0006" @default.
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