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Dirac, Gabriel
Dirac's Conjecture ★★
Author(s): Dirac
Conjecture For every set
of
points in the plane, not all collinear, there is a point in
contained in at least
lines determined by
, for some constant
.
![$ P $](/files/tex/b2b0b759db4d5a1b3204c38cdee6d9bd9e0d0dab.png)
![$ n $](/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png)
![$ P $](/files/tex/b2b0b759db4d5a1b3204c38cdee6d9bd9e0d0dab.png)
![$ \frac{n}{2}-c $](/files/tex/e7c81e33c868724153f8053ee69acd4ecf1a9d42.png)
![$ P $](/files/tex/b2b0b759db4d5a1b3204c38cdee6d9bd9e0d0dab.png)
![$ c $](/files/tex/dccee841f3f498c2c58fa6ae1c1403c5a88c5b8d.png)
Keywords: point set
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Author(s): Dirac
Keywords: point set