2 papers
math.CO2022
Convex geometries representable with colors, by ellipses on the plane, and impossible by circles
Kira Adaricheva, Evan Daisy, Ayush Garg +5
A convex geometry is a closure system satisfying the anti-exchange property. This paper, following the work of K. Adaricheva and M. Bolat (2016) and the Polymath REU 2020 team, con…
math.CO2020
Convex geometries representable by at most 5 circles on the plane
PolyMath REU Convex Geometries Collaboration, Kira Adaricheva, Madina Bolat +18
A convex geometry is a closure system satisfying the anti-exchange property. In this work we document all convex geometries on 4- and 5-element base sets with respect to their repr…