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Sets with No Empty Convex 7-Gons

Published online by Cambridge University Press:  20 November 2018

J. D. Horton
J. D. Horton*
Affiliation:
School of Computer Science, University of New Brunswick, FrederictonNew Brunswick, E3B 5A3
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Abstract

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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.

Keywords

52A40Combinatorial geometryconvex polygon
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 4 , 01 December 1983 , pp. 482 - 484
Copyright
Copyright © Canadian Mathematical Society 1983

References

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