Total polynomials of uniform oriented matroids
type: Item
instance of: scholarly article
title: Total polynomials of uniform oriented matroids
zbMATH Open document ID: 0981.52018
published in: European Journal of Combinatorics
publication date: 2000-06-22T00:00:00Z
Mathematics Subject Classification ID: 52C40
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 1406275
zbMATH Keywords: uniform oriented matroids
zbMATH Keywords: enumeration problems
zbMATH Keywords: combinatorial geometry
zbMATH Keywords: counting faces of polytopes
zbMATH Keywords: Radon partitions
zbMATH Keywords: \(k\)-sets
author: James F. Lawrence
MaRDI profile type: Publication
OpenAlex ID: W1991419084
cites work: On the number of halving planes
cites work: A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
cites work: A combinatorial perspective on the Radon convexity theorem
cites work: Partition of Space
cites work: Q3818315
cites work: A combinatorial perspective on the non-Radon partitions
cites work: Determining a matroid polytope by non-Radon partitions
cites work: Q3889702
cites work: Q5672661
cites work: Oriented matroids
cites work: Q5547252
cites work: A Short Proof of Euler’s Relation for Convex Polytopes
cites work: The numbers of faces of simplicial polytopes
cites work: Q3663965
cites work: The number of faces of a simplicial convex polytope
cites work: Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
DOI: 10.1006/EUJC.1999.0322
Recommended article: The Tutte polynomial of oriented matroids
Recommended article: Q3337482
Recommended article: The Kazhdan-Lusztig polynomials of uniform matroids
Recommended article: The Tutte polynomial of some matroids
Recommended article: Euclideaness and final polynomials in oriented matroid theory
Recommended article: Polarity and inner products in oriented matroids
Recommended article: A generalisation of uniform matroids
Recommended article: Q4225310
Recommended article: The Tutte polynomial of matroid perspectives
Recommended article: Q4949910
description: scientific article; zbMATH DE number 1406275