Almost-graphic matroids

DOI10.1006/aama.2001.0791zbMath1010.05017OpenAlexW2053279811MaRDI QIDQ696817

S. R. Kingan, Manoel Lemos

Publication date: 12 September 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2cf8ada44e92ecaf6c09c2ed11d52ee450292341

zbMATH Keywords

binary matroidplanar graphregular matroidalmost graphic matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (14)

Towards a splitter theorem for internally 4-connected binary matroids. IX. The theorem. ⋮ Signed-graphic matroids with all-graphic cocircuits ⋮ Stability, fragility, and Rota's conjecture ⋮ An algorithm for delta-wye reduction of almost-planar graphs ⋮ Matroids with at least two regular elements ⋮ Delta-wye reduction of almost-planar graphs ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VII ⋮ Towards a splitter theorem for internally 4-connected binary matroids. VIII: Small matroids. ⋮ On almost-planar graphs ⋮ The Möbius matroids ⋮ The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor. ⋮ Internally 4-connected binary matroids with cyclically sequential orderings ⋮ Fan-extensions in fragile matroids ⋮ A circuit characterization of graphic matroids

Cites Work

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• An extension of Lindström's result about characteristic sets of matroids
• A characterization of a class of non-binary matroids
• Decomposition of regular matroids
• On the structure of 3-connected matroids and graphs
• Binary matroids without prisms, prism duals, and cubes
• The Binary Matroids With No 4-Wheel Minor
• A Characterization of Almost-Planar Graphs

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