Excluding a line from complex-representable matroids

DOI10.1090/memo/1523MaRDI QIDQ6661171

Zach Walsh, Peter Nelson, Jim Geelen

Publication date: 13 January 2025

Published in: Unnamed Author (Search for Journal in Brave)

zbMATH Keywords

matroids

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• The number of points in a matroid with no \(n\)-point line as a minor
• Biased graphs. I: Bias, balance, and gains
• On linear systems with integral valued solutions
• Combinatorial geometries representable over GF(3) and GF(q). I: The number of points
• Combinatorial geometries representable over GF(3) and GF(q). II: Dowling geometries
• Growth rates of minor-closed classes of matroids
• Algebraic characteristic sets of matroids
• The long-line graph of a combinatorial geometry. II: Geometries representable over two fields of different characteristics
• Biased graphs. II: The three matroids
• Graph minors. X: Obstructions to tree-decomposition
• Frame matroids and biased graphs
• Cliques in dense GF(\(q\))-representable matroids
• Biased graphs IV: Geometrical realizations
• The extremal functions of classes of matroids of bounded branch-width
• Branch-width and well-quasi-ordering in matroids and graphs.
• The integrality number of an integer program
• A density Hales-Jewett theorem for matroids
• The highly connected matroids in minor-closed classes
• Projective geometries in exponentially dense matroids. I.
• Matroids denser than a clique
• Excluding a planar graph from \(\mathrm{GF}(q)\)-representable matroids
• When does a biased graph come from a group labelling?
• The structure of matroids with a spanning clique or projective geometry
• Obstructions to branch-decomposition of matroids
• A class of geometric lattices based on finite groups
• On the Number of Distinct Rows of a Matrix with Bounded Subdeterminants
• Matroids Representable Over Fields With a Common Subfield
• Varieties of Combinatorial Geometries
• The densest matroids in minor-closed classes with exponential growth rate
• Menger's theorem for matroids
• On Matroids Representable over 𝐺𝐹(3) and Other Fields
• On the abstract properties of linear dependence.

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