Maximal unimodular systems of vectors

DOI10.1006/eujc.1999.0298zbMath0933.15004OpenAlexW2021622607MaRDI QIDQ1306930

Viatcheslav Grishukhin, Vladimir I. Danilov

Publication date: 2 December 1999

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

Full work available at URL: https://doi.org/10.1006/eujc.1999.0298

zbMATH Keywords

root systemsmatroidcubic graphscographic systemsmaximal \(U\)-systemsunimodular systems of vectors

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of matroids and geometric lattices (05B35) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

There are exactly 222 \(L\)-types of primitive five-dimensional lattices, On the sum of a parallelotope and a zonotope, On the tropical Torelli map, Unimodular systems of vectors are embeddable in the \((0, 1)\)-cube, Degenerations of cubic threefolds and matroids, Comparing perfect and 2nd Voronoi decompositions: the matroidal locus, Discrete convexity and unimodularity. I., The decomposition of the hypermetric cone into \(L\)-domains, Discrete convexity

Cites Work

• Decomposition of regular matroids
• On lattice dicing
• Discrete convexity and unimodularity. I.
• Modular Constructions for Combinatorial Geometries
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