Geodesic
Sets with No Empty Convex 7-Gons
Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 482-484

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DOI

Erdös has defined g(n) as the smallest integer such that any set of g(n) points in the plane, no three collinear, contains the vertex set of a convex n-gon whose interior contains no point of this set. Arbitrarily large sets containing no empty convex 7-gon are constructed, showing that g(n) does not exist for n≥l. Whether g(6) exists is unknown.
DOI : 10.4153/CMB-1983-077-8
Mots-clés : 52A40, Combinatorial geometry, convex polygon 
Horton, J. D. Sets with No Empty Convex 7-Gons. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 482-484. doi: 10.4153/CMB-1983-077-8
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     title = {Sets with {No} {Empty} {Convex} {7-Gons}},
     journal = {Canadian mathematical bulletin},
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     year = {1983},
     volume = {26},
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     doi = {10.4153/CMB-1983-077-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-077-8/}
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