Many order types on integer grids of polynomial size
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Publication:2096371
DOI10.1016/j.comgeo.2022.101924OpenAlexW3045850712WikidataQ114195430 ScholiaQ114195430MaRDI QIDQ2096371
Publication date: 16 November 2022
Published in: Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.15334
Cites Work
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- Coding and counting arrangements of pseudolines
- Abstract order type extension and new results on the rectilinear crossing number
- Degrees of freedom versus dimension for containment orders
- Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines
- Axioms and hulls
- Generation of oriented matroids --- a graph theoretical approach
- Drawing the Horton set in an integer grid of minimum size
- Enumerating order types for small point sets with applications
- Complete enumeration of small realizable oriented matroids
- On the number of order types in integer grids of small size
- Multidimensional Sorting
- Sets with No Empty Convex 7-Gons
- Convex Polytopes
- Oriented Matroids
- New Lower Bounds for the Number of Pseudoline Arrangements
- Lower Bounds for Approximation by Nonlinear Manifolds
- On the Betti Numbers of Real Varieties
- Convex Hulls of Random Order Types