Work

On combinatorics of plus–one generated line arrangements

Year: 2025

Type: article

Abstract: This paper focuses on the combinatorial properties of plus–one generated line arrangements. We provide combinatorial constraints on such arrangements and construct a polynomial with a shape similar to the well–known Poincaré polynomial that decodes the plus–one generatedness property. We demonstrate how to create new plus–one generated arrangements using classical Klein and Wiman reflection arrangements. Furthermore, among all known sporadic simplicial arrangements with up to 27 lines, we identify nine minimal plus–one generated arrangements.

Source: Bollettino Della Unione Matematica Italiana

DOI: 10.1007/s40574-025-00517-z

Author: Artur Bromboszcz

Institution: Uniwersytet Komisji Edukacji Narodowej w Krakowie

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Narodowe Centrum Nauki