A characterization of a class of non-binary matroids

DOI10.1016/0095-8956(90)90025-UzbMath0658.05018MaRDI QIDQ1111557

James G. Oxley

Publication date: 1990

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

zbMATH Keywords

non-binary matroidcircuit-hyperplane relaxation

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (9)

Signed-graphic matroids with all-graphic cocircuits ⋮ Non-Binary Matroids Having At Most Three Non-Binary Elements ⋮ Stability, fragility, and Rota's conjecture ⋮ Matroids with many common bases. ⋮ On two classes of nearly binary matroids ⋮ Almost-graphic matroids ⋮ Families of matroids induced by classes of graphs ⋮ On the connectivity function of a binary matroid ⋮ Fan-extensions in fragile matroids

Cites Work

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• A problem of P. Seymour on nonbinary matroids
• Decomposition of regular matroids
• Matroid representation over GF(3)
• On minors of non-binary matroids
• Recognizing graphic matroids
• On Nonbinary 3-Connected Matroids
• The Minimum Number of Edges and Vertices in a Graph with Edge Connectivity n and m n‐Bonds
• The Forbidden Minors of Binary Clutters
• Connectivity in Matroids
• A Combinatorial Model for Series-Parallel Networks

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