A decomposition theorem for binary matroids with no prism minor

DOI10.1007/s00373-013-1352-6zbMath1306.05027arXiv1203.3741OpenAlexW2034947047MaRDI QIDQ489315

Manoel Lemos, S. R. Kingan

Publication date: 20 January 2015

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3741

zbMATH Keywords

binary matroidsdecomposition of matroidsexcluded-minorsprism graph

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (8)

On binary matroids without a \(P_{10}\)-minor ⋮ Quasiregular matroids ⋮ On the structure of triangle-free 3-connected matroids ⋮ Unnamed Item ⋮ Rooted prism-minors and disjoint cycles containing a specified edge ⋮ Characterizing binary matroids with no \(P_9\)-minor ⋮ A new proof for a result of Kingan and Lemos' ⋮ Internally 4-connected binary matroids without a prism+\(e\) minor

Cites Work

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• Decomposition of regular matroids
• Binary matroids without prisms, prism duals, and cubes
• The Internally 4-Connected Binary Matroids with No $M(K_{5}\backslash e)$-Minor
• The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor.
• The Binary Matroids With No 4-Wheel Minor
• Some Results Concerning the Structure of Graphs

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