Symmetry, oriented matroids and two conjectures of Michel Las Vergnas

DOI10.1016/j.ejc.2015.03.020zbMath1319.05035OpenAlexW1980773658WikidataQ123296113 ScholiaQ123296113MaRDI QIDQ491735

Ilda P. F. da Silva

Publication date: 19 August 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2015.03.020

zbMATH Keywords

cube conjectureEuclidean representations of matroids

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• On fillings of \(2N\)-gons with rhombi
• Cubes and orientability
• On minimal non-orientable matroids with \(2n\) elements and rank \(n\)
• An axiomatic of non-Radon partitions of oriented matroids
• On subspaces spanned by random selections of \(\pm 1\) vectors
• Convexity in oriented matroids
• Lopsided sets and orthant-intersection by convex sets
• Computational synthetic geometry
• Oriented matroids
• Orientability of matroids
• The Cayley trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
• Recursivity and geometry of the hypercube
• A characterization of oriented matroids in terms of topes
• On the cube problem of Las Vergnas
• Axioms for maximal vectors of an oriented matroid: A combinatorial characterization of the regions determined by an arrangement of pseudohyperplanes
• On the singularity probability of random Bernoulli matrices
• Oriented Matroids
• Combinatorial Properties of Associated Zonotopes

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