A Note on Weak Dirac Conjecture

Abstract

We show that every set $\mathcal{P}$ of $n$ non-collinear points in the plane contains a point incident to at least $\lceil \frac{n}{3}\rceil +1$ of the lines determined by $\mathcal{P}$.

References in corpus (1)

• A new progress on Weak Dirac conjecture

Cited by in corpus (1)

• The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities