Geodesic
A note on the weak Dirac conjecture
The electronic journal of combinatorics, Tome 24 (2017) no. 1
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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 $\mathcal{P}$.
DOI : 10.37236/6688
Classification : 52C10, 14N05
Mots-clés : configurations of points, incident-line-numbers, weak Dirac conjecture, Hirzebruch-type inequalities 
@article{10_37236_6688,
     author = {Zeye Han},
     title = {A note on the weak {Dirac} conjecture},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {1},
     doi = {10.37236/6688},
     zbl = {1364.52012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6688/}
}
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Zeye Han. A note on the weak Dirac conjecture. The electronic journal of combinatorics, Tome 24 (2017) no. 1. doi: 10.37236/6688

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