Year: 2024
Type: preprint
Abstract: For each $n \geq 2$, $l \geq 3$, let ${ES}_L (l,n)$ be the minimum $N$ such that every family of $N$-lines in the plane contains either $l$ concurrent lines or $n$ lines in convex position. In this papar, we give the upper and lower bounds for $ES_L (l,n)$. This is one of the extensions of the line version of Erdös-Szekeres convex polygon problem.
Source: arXiv (Cornell University)
Author: Furukawa, Koki
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403782801