The number of distinct distances from a vertex of a convex polygon

<p>Erdős conjectured in 1946 that every $n$-point set $P$ in convex position in the plane contains a point that determines at least $\lfloor n/2\rfloor$ distinct distances to the other points of $P$. The best known lower bound due to Dumitrescu (2006) is $13n/36 − O(1)$. In the present note, w...

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Bibliographic Details
Main Authors: Gabriel Nivasch, János Pach, Rom Pinchasi, Shira Zerbib
Format: Article
Language:English
Published: Carleton University 2013-03-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/103