Representation of convex geometries by circles on the plane
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Publication:1712517
DOI10.1016/j.disc.2018.10.043zbMath1409.52001arXiv1609.00092OpenAlexW2963937081WikidataQ128843695 ScholiaQ128843695MaRDI QIDQ1712517
Publication date: 22 January 2019
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00092
closure systemconvex geometryconvex dimensionaffine convex geometryWeak \(2 \times 3\)-Carousel rule
Related Items (4)
A convex combinatorial property of compact sets in the plane and its roots in lattice theory ⋮ CONDITIONAL LOGIC IS COMPLETE FOR CONVEXITY IN THE PLANE ⋮ Absolute retracts for finite distributive lattices and slim semimodular lattices ⋮ Convexity in ordered matroids and the generalized external order
Cites Work
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- The joy of implications, aka pure Horn formulas: mainly a survey
- Embedding convex geometries and a bound on convex dimension
- The affine representation theorem for abstract convex geometries
- A use for frequently rediscovering a concept
- On characterizing collections arising from N-gons in the plane
- Realization of abstract convex geometries by point configurations
- The theory of convex geometries
- Join-semidistributive lattices and convex geometries.
- Finite convex geometries of circles
- Representing finite convex geometries by relatively convex sets
- Regular systems of paths and families of convex sets in convex position
- Bases of Closure Systems
- Representing convex geometries by almost-circles
- Characterizing circles by a convex combinatorial property
- An easy way to a theorem of Kira Adaricheva and Madina Bolat on convexity and circles
- On the representation of finite convex geometries with convex sets
- Sublattices of Lattices of Convex Subsets of Vector Spaces
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