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arxiv: 1111.5656 · v1 · pith:5XUIFDXJnew · submitted 2011-11-24 · 🧮 math.CO · cs.CG

On empty pentagons and hexagons in planar point sets

classification 🧮 math.CO cs.CG
keywords emptyboundsconvexgeneralgivegonshexagonsholes
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We give improved lower bounds on the minimum number of $k$-holes (empty convex $k$-gons) in a set of $n$ points in general position in the plane, for $k=5,6$.

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