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- W121350897 abstract "AbstractLet P be a set of n points on the plane, in general position, H of them placed on the boundary of the convex hull of P. In this note we prove that there is a well defined family of empty triangles, the family of empty triangles not generated by an empty convex pentagon, containing exactly n2 − 5n + H + 4 empty triangles. This result immediately implies a slight improvement on the lower bound on the number of empty triangles that every set of n points in the plane must determine.KeywordsEmpty triangleempty convex pentagonconvex hullpoints in general position" @default.
- W121350897 created "2016-06-24" @default.
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- W121350897 date "2012-01-01" @default.
- W121350897 modified "2023-10-01" @default.
- W121350897 title "A Note on the Number of Empty Triangles" @default.
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- W121350897 doi "https://doi.org/10.1007/978-3-642-34191-5_24" @default.
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