# On the maximum number of independent elements in configurations of points and lines (Seminar DM)

On the maximum number of independent elements in configurations of points and lines.

Tomaž Pisanski

Torek, 22. februar 2011, od 10-12, Plemljev seminar, Jadranska 19

Povzetek: We show that the upper bound for the maximum number of independent elements of a (vr) configuration is given by $\lfloor 2v/(r+1) \rfloor$ and that this bound is attained for all integer values of r by geometric configurations of points and lines in the Euclidean plane. This disproves a conjecture by Branko Grünbaum.