# ON TOPOLOGICAL AND GEOMETRIC (194) CONFIGURATIONS JÜRGEN BOKOWSKI AND VINCENT PILAUD‡

@inproceedings{BokowskiONTA, title={ON TOPOLOGICAL AND GEOMETRIC (194) CONFIGURATIONS J{\"U}RGEN BOKOWSKI AND VINCENT PILAUD‡}, author={J{\"u}rgen Bokowski and Vincent Pilaud} }

An (n k) configuration is a set of n points and n lines such that each point lies on k lines while each line contains k points. The configuration is geometric, topological, or combinatorial depending on whether lines are considered to be straight lines, pseudolines, or just combinatorial lines. The existence and enumeration of (n k) configurations for a given k has been subject to active research. A current front of research concerns geometric (n 4) configurations: it is now known that…

## 2 Citations

$(22_4)$ and $(26_4)$ configurations of lines

- Mathematics
- 2017

We present a technique to produce arrangements of lines with nice properties. As an application, we construct $(22_4)$ and $(26_4)$ configurations of lines. Thus concerning the existence of geometric…

(224) and (264) Configurations of Lines

- MathematicsArs Math. Contemp.
- 2018

A technique to produce arrangements of lines with nice properties and concerning the existence of geometric $(n_4)$ configurations, only the case $n=23$ remains open.

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Technische Universität Darmstadt E-mail address: juergen.bokowski@gmail.com (V. Pilaud) CNRS & LIX, ´ Ecole Polytechnique, Palaiseau E-mail address

- Technische Universität Darmstadt E-mail address: juergen.bokowski@gmail.com (V. Pilaud) CNRS & LIX, ´ Ecole Polytechnique, Palaiseau E-mail address