The long-line graph of a combinatorial geometry. II: Geometries representable over two fields of different characteristics

DOI10.1016/0095-8956(90)90095-HzbMath0645.05026OpenAlexW2064283091MaRDI QIDQ1102973

Joseph P. S. Kung

Publication date: 1990

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(90)90095-h

zbMATH Keywords

growth ratesrepresentabilityinteger matricescombinatorial geometrymatroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (6)

On the Number of Distinct Rows of a Matrix with Bounded Subdeterminants ⋮ Sign-Coherent Identities for Characteristic Polynomials of Matroids ⋮ On the Column Number and Forbidden Submatrices for \(\Delta\)-Modular Matrices ⋮ Growth rates of minor-closed classes of matroids ⋮ Minors of a random binary matroid ⋮ The highly connected matroids in minor-closed classes

Cites Work

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• On linear systems with integral valued solutions
• Combinatorial geometries representable over GF(3) and GF(q). I: The number of points
• Algebraic characteristic sets of matroids
• Numerically regular hereditary classes of combinatorial geometries
• Subspaces with well-scaled frames
• A class of geometric lattices based on finite groups
• THE LONG-LINE GRAPH OF A COMBINATORIAL GEOMETRY. I. EXCLUDING M(K₄) AND THE (q + 2)-POINT LINE AS MINORS
• A Note on Tutte's Unimodular Representation Theorem
• Theory of Matroids

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