2 papers
math.CO2026
Enumeration and Classification of Triangle-Maximal Pseudoline Arrangements
Roman Parpalak, Denis Utkin
We describe algorithms for the exhaustive enumeration and classification of simple arrangements of pseudolines ( odd) maximizing the number of triangular faces. The depth-fi…
math.CO2026
The Triangle-Maximal Series of Straight Lines
Roman Parpalak, Denis Utkin
Given lines in general position in the plane, how many bounded triangular faces can the arrangement have? We construct a straight-line affine arrangement of lines satisfyi…