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On the coordinatization of oriented matroids

https://doi.org/10.1007/bf02187702
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-0348-5765-9_5openalex-snapshot
Neuere Entwicklungen in der kombinatorischen Konvexgeometrie
inferredcites →https://doi.org/10.1007/978-3-7091-9459-1_3openalex-snapshot
A Decision Method for Elementary Algebra and Geometry
inferredcites →https://doi.org/10.1007/bf02187696openalex-snapshot
Upper bounds for configurations and polytopes inR d
inferredcites →https://doi.org/10.1007/bf02760509openalex-snapshot
Construction theorems for polytopes
inferredcites →https://doi.org/10.1007/bf02760511openalex-snapshot
On combinatorial and affine automorphisms of polytopes
inferredcites →https://doi.org/10.1007/bf02764673openalex-snapshot
Neighborly 6-polytopes with 10 vertices
inferredcites →https://doi.org/10.1007/bf02766213openalex-snapshot
Polytopal and nonpolytopal spheres an algorithmic approach
inferredcites →https://doi.org/10.1016/0024-3795(82)90094-5openalex-snapshot
Oriented matroids and multiply ordered sets
inferredcites →https://doi.org/10.1016/0095-8956(78)90003-5openalex-snapshot
Bases in oriented matroids
inferredcites →https://doi.org/10.1016/0095-8956(78)90080-1openalex-snapshot
Orientability of matroids
inferredcites →https://doi.org/10.1016/s0195-6698(84)80033-5openalex-snapshot
Polarity and Inner Products in Oriented Matroids
inferredcites →https://doi.org/10.1525/9780520348097openalex-snapshot
A Decision Method for Elementary Algebra and Geometry

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-45410-1_11openalex-snapshot
Effective Methods in Computational Synthetic Geometry
inferred← citeshttps://doi.org/10.1007/978-3-030-35802-0_8openalex-snapshot
Minimal Representations of Order Types by Geometric Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-58043-7_6openalex-snapshot
Allowable Sequences and Order Types in Discrete and Computational Geometry
inferred← citeshttps://doi.org/10.1007/bf00147470openalex-snapshot
A polyhedron of genus 4 with minimal number of vertices and maximal symmetry
inferred← citeshttps://doi.org/10.1007/bf00151346openalex-snapshot
Simplicial cells in arrangements and mutations of oriented matroids
inferred← citeshttps://doi.org/10.1007/bf02187710openalex-snapshot
A nonuniform matroid which violates the isotopy conjecture
inferred← citeshttps://doi.org/10.1007/bf02187717openalex-snapshot
Uniform oriented matroids without the isotopy property
inferred← citeshttps://doi.org/10.1007/bf02187748openalex-snapshot
A geometric realization without self-intersections does exist for Dyck's regular map
inferred← citeshttps://doi.org/10.1007/bf02187792openalex-snapshot
Exterior algebra and projections of polytopes
inferred← citeshttps://doi.org/10.1007/bf02187794openalex-snapshot
Nonrealizability proofs in computational geometry
inferred← citeshttps://doi.org/10.1007/bf02764673openalex-snapshot
Neighborly 6-polytopes with 10 vertices
inferred← citeshttps://doi.org/10.1007/bf02766213openalex-snapshot
Polytopal and nonpolytopal spheres an algorithmic approach
inferred← citeshttps://doi.org/10.1007/s00454-012-9470-0openalex-snapshot
Complete Enumeration of Small Realizable Oriented Matroids
inferred← citeshttps://doi.org/10.1007/s00493-016-3253-9openalex-snapshot
The universality theorem for neighborly polytopes
inferred← citeshttps://doi.org/10.1016/0001-8708(91)90070-nopenalex-snapshot
Algebraic varieties characterizing matroids and oriented matroids
inferred← citeshttps://doi.org/10.1016/0024-3795(88)90250-9openalex-snapshot
Totally positive matrices and cyclic polytopes
inferred← citeshttps://doi.org/10.1016/0097-3165(89)90003-4openalex-snapshot
Arrangements of lines and pseudolines without adjacent triangles
inferred← citeshttps://doi.org/10.1016/0925-7721(92)90012-hopenalex-snapshot
On the distribution of order types
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50021-3openalex-snapshot
Oriented Matroids
inferred← citeshttps://doi.org/10.1016/b978-044488002-4/50020-8openalex-snapshot
10.1016/b978-044488002-4/50020-8
inferred← citeshttps://doi.org/10.1016/s0020-0190(98)00125-2openalex-snapshot
A special arrangement with minimal number of triangles
inferred← citeshttps://doi.org/10.1016/s0195-6698(87)80026-4openalex-snapshot
Altshuler's Sphere M42510 is not Polytopal
inferred← citeshttps://doi.org/10.1016/s0195-6698(88)80050-7openalex-snapshot
Neighborly Polytopes and Oriented Matroids
inferred← citeshttps://doi.org/10.1016/s1570-7954(96)80009-xopenalex-snapshot
Matroids
inferred← citeshttps://doi.org/10.1090/crmp/048/05openalex-snapshot
Hyperplane arrangements with large average diameter
inferred← citeshttps://doi.org/10.1090/s0002-9947-1991-0994170-3openalex-snapshot
On the Topology and Geometric Construction of Oriented Matroids and Convex Polytopes
inferred← citeshttps://doi.org/10.1090/s0273-0979-1987-15532-7openalex-snapshot
On the decidability of Diophantine problems in combinatorial geometry
inferred← citeshttps://doi.org/10.1109/38.41469openalex-snapshot
Robust set operations on polyhedral solids
inferred← citeshttps://doi.org/10.1109/robot.1995.525602openalex-snapshot
An approach to the movers' problem that combines oriented matroid theory and algebraic geometry
inferred← citeshttps://doi.org/10.1137/0401014openalex-snapshot
Some Applications of Affine Gale Diagrams to Polytopes with Few Vertices
inferred← citeshttps://doi.org/10.1137/120875909openalex-snapshot
Euclidean Distance Geometry and Applications
inferred← citeshttps://doi.org/10.1137/s0895479894264430openalex-snapshot
Matrices with Sign Consistency of a Given Order
inferred← citeshttps://doi.org/10.20382/jocg.v6i1a5openalex-snapshot
On characterizing terrain visibility graphs
inferred← citeshttps://doi.org/10.2969/aspm/06210059openalex-snapshot
Hyperplane arrangements with large average diameter: a computational approach
inferred← citeshttps://doi.org/10.48550/arxiv.math/0610696openalex-snapshot
Monte Carlo simulations with a generalized detailed balance using the quantum-classical isomorphism
inferred← citeshttps://doi.org/10.7155/jgaa.00545openalex-snapshot
Minimal Representations of Order Types by Geometric Graphs
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