Convex geometries representable by at most five circles on the plane

DOI10.2140/INVOLVE.2024.17.337zbMATH Open1540.52001MaRDI QIDQ6543071

James L. Thompson, Michelle Olson, Catherine Raanes, Grace Ma, Stephanie Zhou, Fernanda Yepez-Lopez, Ayush Garg, Raviv Sarch, Sean Riedel, Evan Daisy, Kira Adaricheva, Rohit Pai, Madina Bolat, Joseph Rogge

Publication date: 24 May 2024

Published in: Involve (Search for Journal in Brave)

zbMATH Keywords

convex geometryconvex hull operator for circlesrepresentation by circles

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Combinatorial aspects of finite geometries (05B25) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Cites Work

• The joy of implications, aka pure Horn formulas: mainly a survey
• The theory of convex geometries
• Combinatorial representation and convex dimension of convex geometries
• Correspondence between two antimatroid algorithmic characterizations
• Representation of convex geometries by circles on the plane
• Join-semidistributive lattices and convex geometries.
• Finite convex geometries of circles
• Convex Geometries
• Bases of Closure Systems
• Minimal Representation of Directed Hypergraphs
• On the representation of finite convex geometries with convex sets
• Convex geometries representable with colors, by ellipses on the plane, and impossible by circles

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