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- W4287658737 abstract "Given a family of sets on the plane, we say that the family is intersecting if for any two sets from the family their interiors intersect. In this paper, we study intersecting families of triangles with vertices in a given set of points. In particular, we show that if a set $P$ of $n$ points is in convex position, then the largest intersecting family of triangles with vertices in $P$ contains at most $(frac{1}{4}+o(1))binom{n}{3}$ triangles." @default.
- W4287658737 created "2022-07-25" @default.
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- W4287658737 date "2020-09-30" @default.
- W4287658737 modified "2023-09-28" @default.
- W4287658737 title "Intersection theorems for triangles" @default.
- W4287658737 doi "https://doi.org/10.48550/arxiv.2009.14560" @default.
- W4287658737 hasPublicationYear "2020" @default.
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