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Polytopal and nonpolytopal spheres an algorithmic approach

https://doi.org/10.1007/bf02766213
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-0348-5765-9openalex-snapshot
Contributions to Geometry
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/bf02187702openalex-snapshot
On the coordinatization of oriented matroids
inferredcites →https://doi.org/10.1007/bf02414895openalex-snapshot
Sphären Mit Wenigen Ecken
inferredcites →https://doi.org/10.1007/bf02760511openalex-snapshot
On combinatorial and affine automorphisms of polytopes
inferredcites →https://doi.org/10.1007/bf02761235openalex-snapshot
Neighborly polytopes
inferredcites →https://doi.org/10.1007/bf02764673openalex-snapshot
Neighborly 6-polytopes with 10 vertices
inferredcites →https://doi.org/10.1016/0012-365x(80)90029-1openalex-snapshot
The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes
inferredcites →https://doi.org/10.1016/0095-8956(78)90080-1openalex-snapshot
Orientability of matroids
inferredcites →https://doi.org/10.1016/0095-8956(80)90082-9openalex-snapshot
Convexity in oriented matroids
inferredcites →https://doi.org/10.1016/0097-3165(72)90068-4openalex-snapshot
Spheres with few vertices
inferredcites →https://doi.org/10.1016/0097-3165(80)90038-2openalex-snapshot
Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines
inferredcites →https://doi.org/10.1016/s0304-0208(08)73390-5openalex-snapshot
Oriented Matroids of Rank Three and Arrangements of Pseudolines
inferredcites →https://doi.org/10.1137/0605050openalex-snapshot
Triangulations of Oriented Matroids and Convex Polytopes
inferredcites →https://doi.org/10.1525/9780520348097openalex-snapshot
A Decision Method for Elementary Algebra and Geometry
inferredcites →https://doi.org/10.4153/cjm-1977-043-5openalex-snapshot
Neighborly 4-Polytopes and Neighborly Combinatorial 3-Manifolds with Ten Vertices

What points at this work

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

inferred← citeshttps://doi.org/10.1007/3-540-51084-2_50openalex-snapshot
Cayley factorization
inferred← citeshttps://doi.org/10.1007/3-540-54891-2_6openalex-snapshot
On the morphology of polytopes in ℝd
inferred← citeshttps://doi.org/10.1007/978-94-011-3424-8_7openalex-snapshot
Cayley Factorization and a Straightening Algorithm
inferred← citeshttps://doi.org/10.1007/978-94-015-8402-9_5openalex-snapshot
A Tutorial on Grassmann-Cayley Algebra
inferred← citeshttps://doi.org/10.1007/978-94-015-8753-2_19openalex-snapshot
Grassmann Progressive and Regressive Products and CG-Algebras
inferred← citeshttps://doi.org/10.1007/bf00053296openalex-snapshot
Cayley factorization and a straightening algorithm
inferred← citeshttps://doi.org/10.1007/bf00151346openalex-snapshot
Simplicial cells in arrangements and mutations of oriented matroids
inferred← citeshttps://doi.org/10.1007/bf01160956openalex-snapshot
An infinite family of minor-minimal nonrealizable 3-chirotopes
inferred← citeshttps://doi.org/10.1007/bf02187702openalex-snapshot
On the coordinatization of oriented matroids
inferred← citeshttps://doi.org/10.1007/bf02187794openalex-snapshot
Nonrealizability proofs in computational geometry
inferred← citeshttps://doi.org/10.1007/bf02187893openalex-snapshot
Many triangulated spheres
inferred← citeshttps://doi.org/10.1007/bf02764673openalex-snapshot
Neighborly 6-polytopes with 10 vertices
inferred← citeshttps://doi.org/10.1007/bf03322623openalex-snapshot
Computing Final Polynomials and Final Syzygies Using Buchberger’s Gröbner Bases Method
inferred← citeshttps://doi.org/10.1007/bfb0093761openalex-snapshot
Realization Spaces of Polytopes
inferred← citeshttps://doi.org/10.1007/pl00009440openalex-snapshot
A Characterization of Gram Matrices of Polytopes
inferred← citeshttps://doi.org/10.1007/s00454-001-0056-5openalex-snapshot
Generation of Oriented Matroids—A Graph Theoretical Approach
inferred← citeshttps://doi.org/10.1007/s00454-022-00379-8openalex-snapshot
Combining Realization Space Models of Polytopes
inferred← citeshttps://doi.org/10.1007/s00454-023-00553-6openalex-snapshot
A Lower Bound Theorem for Strongly Regular CW Spheres with up to $$2d+1$$ Vertices
inferred← citeshttps://doi.org/10.1007/s11856-020-2070-4openalex-snapshot
The complete enumeration of 4-polytopes and 3-spheres with nine vertices
inferred← citeshttps://doi.org/10.1016/0012-365x(91)90159-yopenalex-snapshot
The enumeration of four-dimensional polytopes
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50019-5openalex-snapshot
Combinatorial Aspects of Convex Polytopes
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50020-1openalex-snapshot
Polyhedral Manifolds
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/s0195-6698(13)80052-2openalex-snapshot
On the Finding of Final Polynomials
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/s0747-7171(08)80113-7openalex-snapshot
Multilinear cayley factorization
inferred← citeshttps://doi.org/10.1017/s0963548307008838openalex-snapshot
Three Counter-Examples on Semi-Graphoids
inferred← citeshttps://doi.org/10.1080/10586458.2015.1015084openalex-snapshot
Enumerating Neighborly Polytopes and Oriented Matroids
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/10.1137/0401014openalex-snapshot
Some Applications of Affine Gale Diagrams to Polytopes with Few Vertices
inferred← citeshttps://doi.org/10.11575/cdm.v2i1.61952openalex-snapshot
The flow lattice of oriented matroids
inferred← citeshttps://doi.org/10.1287/moor.12.4.718openalex-snapshot
The d-Step Conjecture and Its Relatives
inferred← citeshttps://doi.org/10.48550/arxiv.math/0506372openalex-snapshot
Triangulated Manifolds with Few Vertices: Combinatorial Manifolds
inferred← citeshttps://doi.org/10.48550/arxiv.math/0604018openalex-snapshot
Combinatorial 3-manifolds with 10 vertices
inferred← citeshttps://doi.org/10.5821/dissertation-2117-94907openalex-snapshot
Neighborly and almost neighborly configurations, and their duals
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