Mar 14, 1983 · In this paper, we establish several theorems involving configurations of points and lines in the Euclidean plane.

Question. Max # joints formed by N planes in F6? “joint” = a point contained in 3 planes with independent directions. Example. Θ(N3/2) joints.

In this thesis we study various combinatorial problems relating to the geometry of point sets in the Euclidean plane.

Extremal problems in discrete geometry are among the most natural and most tantalizing areas of research in combinatorial mathematics. The reader is ...

Sep 16, 2024 · In this talk, I will discuss two long-standing problems: Fejes Tóth's zone conjecture and a problem on equiangular lines with a fixed angle.

We study several extremal problems lying at the intersection of combinatorics and linear algebra. Many of the problems we will be considering can be thought ...

Dec 20, 2021 · We study extremal problems with motivation coming from the field of discrete geometry. In particular, most of the problems are motivated by the ...

We study several problems in discrete geometry and extremal combinatorics. Discrete geometry studies the combinatorial properties of finite sets of simple ...

What's the minimum number of distinct distances between n n n points on a plane? ... Geometry of ruled surfaces, polynomial method.

Download. Full text (PDF, 620.4Kb) ; Author. Balla, Igor ; Date. 2019 ; Type. Doctoral Thesis ; ETH Bibliography. yes. Altmetrics.