On the public citation graph

Simplicial cells in arrangements and mutations of oriented matroids

https://doi.org/10.1007/bf00151346
0 signed · 42 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/bf00181486openalex-snapshot
Simplicial cells in arrangements of hyperplanes
inferredcites →https://doi.org/10.1007/bf02187702openalex-snapshot
On the coordinatization of oriented matroids
inferredcites →https://doi.org/10.1007/bf02187900openalex-snapshot
Arrangements of lines with a minimum number of triangles are simple
inferredcites →https://doi.org/10.1007/bf02766213openalex-snapshot
Polytopal and nonpolytopal spheres an algorithmic approach
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/10.1016/0012-365x(86)90016-6openalex-snapshot
On the number of triangles in simple arrangements of pseudolines in the real projective plane
inferredcites →https://doi.org/10.1016/0024-3795(81)90098-7openalex-snapshot
Unions of oriented matroids
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/s0195-6698(88)80046-5openalex-snapshot
Tverberg-type Theorems for Pseudoconfigurations of Points in the Plane
inferredcites →https://doi.org/10.1057/jors.1985.33openalex-snapshot
Network Flows and Monotropic Optimization.
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.4153/cjm-1958-024-6openalex-snapshot
On the Number of Ordinary Lines Determined by n Points

What points at this work

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

inferred← citeshttps://doi.org/10.1006/eujc.2000.0462openalex-snapshot
On Counting the k-face Cells of Cyclic Arrangements
inferred← citeshttps://doi.org/10.1006/eujc.2000.0483openalex-snapshot
On a Mutation Problem for Oriented Matroids
inferred← citeshttps://doi.org/10.1006/eujc.2000.0492openalex-snapshot
Lawrence Oriented Matroids and a Problem of McMullen on Projective Equivalences of Polytopes
inferred← citeshttps://doi.org/10.1007/bf02187794openalex-snapshot
Nonrealizability proofs in computational geometry
inferred← citeshttps://doi.org/10.1007/bf02573980openalex-snapshot
Oriented matroids with few mutations
inferred← citeshttps://doi.org/10.1007/bf02573981openalex-snapshot
Two constructions of oriented matroids with disconnected extension space
inferred← citeshttps://doi.org/10.1007/s00373-014-1474-5openalex-snapshot
Projective Equivalences of k-neighbourly Polytopes
inferred← citeshttps://doi.org/10.1007/s00454-012-9470-0openalex-snapshot
Complete Enumeration of Small Realizable Oriented Matroids
inferred← citeshttps://doi.org/10.1007/s004540010042openalex-snapshot
Mutation Polynomials and Oriented Matroids
inferred← citeshttps://doi.org/10.1007/s00493-016-3556-xopenalex-snapshot
How Many Circuits Determine an Oriented Matroid?
inferred← citeshttps://doi.org/10.1016/0012-365x(91)90375-copenalex-snapshot
Cells with many facets in arrangements of hyperplanes
inferred← citeshttps://doi.org/10.1016/0024-3795(93)90135-bopenalex-snapshot
A nonextremal Camion basis
inferred← citeshttps://doi.org/10.1016/0095-8956(90)90084-dopenalex-snapshot
On the inversion of the sign of one basis in an oriented matroid
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/b978-0-444-89596-7.50021-3openalex-snapshot
Oriented Matroids
inferred← citeshttps://doi.org/10.1016/j.ejc.2005.05.006openalex-snapshot
The odd–even invariant of an oriented matroid
inferred← citeshttps://doi.org/10.1016/j.ejc.2008.12.012openalex-snapshot
The Holt–Klee condition for oriented matroids
inferred← citeshttps://doi.org/10.1016/j.ejc.2017.10.002openalex-snapshot
The odd–even invariant and Hamiltonian circuits in tope graphs
inferred← citeshttps://doi.org/10.1016/j.ejc.2019.103065openalex-snapshot
A two-dimensional topological representation theorem for matroid polytopes of rank 4
inferred← citeshttps://doi.org/10.1016/j.ejc.2023.103714openalex-snapshot
Corners and simpliciality in oriented matroids and partial cubes
inferred← citeshttps://doi.org/10.1080/10586458.2024.2334379openalex-snapshot
Roudneff’s Conjecture in Dimension 4
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/10.1109/robot.1995.525602openalex-snapshot
An approach to the movers' problem that combines oriented matroid theory and algebraic geometry
inferred← citeshttps://doi.org/10.1109/robot.2005.1570671openalex-snapshot
A New Formalism to Characterize Contact States Involving Articulated Polyhedral Objects
inferred← citeshttps://doi.org/10.1112/mtk.12193openalex-snapshot
On the number of vertices of projective polytopes
inferred← citeshttps://doi.org/10.1137/s0895480193250940openalex-snapshot
Altshuler’s Sphere $M_{963}^9 $ Revisited
inferred← citeshttps://doi.org/10.2977/prims/1195167272openalex-snapshot
Topes of Oriented Matroids and Related Structures
inferred← citeshttps://doi.org/10.37236/4811openalex-snapshot
Roudneff's Conjecture for Lawrence Oriented Matroids
inferred← citeshttps://doi.org/10.48550/arxiv.2008.01032openalex-snapshot
Combinatorial Geometry of Threshold-Linear Networks
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.