Work

Quantitative Helly-type problems

Year: 2025

Type: article

Abstract: Quantitative versions of Helly's and Steinitz' theorems were first introduced by Bárány, Katchalski and Pach in 1982, and have grown into a well-studied field within discrete and convex geometry in the last decade. This note is an invitation to the field in the form of an incomplete collection of open problems.

Source: Analysis Mathematica

DOI: 10.1007/s10476-025-00127-z

Author: M. Naszódi

Institutions: Eötvös Loránd University, HUN-REN Alfréd Rényi Institute of Mathematics

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Eötvös Loránd Tudományegyetem