Keywords:
Configurations of points, Incident-line-numbers, Weak Dirac Conjecture, Hirzebruch-type inequalities
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 $\mathcal{P}$.
