The excluded minors for near-regular matroids

DOI10.1016/j.ejc.2011.01.013zbMath1227.05114arXiv0902.2071OpenAlexW2138805279MaRDI QIDQ2275471

Dillon Mayhew, Rhiannon Hall, Stefan H. M. Van Zwam

Publication date: 9 August 2011

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2071

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (12)

Confinement of matroid representations to subsets of partial fields ⋮ The excluded minors for 2- and 3-regular matroids ⋮ Stability, fragility, and Rota's conjecture ⋮ Orientations of golden-mean matroids ⋮ The excluded minors for the class of matroids that are binary or ternary ⋮ Excluded minors are almost fragile ⋮ \(N\)-detachable pairs in 3-connected matroids. I: Unveiling \(X\) ⋮ The Structure of $\{U_{2,5}, U_{3,5}\}$-Fragile Matroids ⋮ On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids ⋮ Matroid 3-connectivity and branch width ⋮ Obstacles to decomposition theorems for sixth-root-of-unity matroids ⋮ Fan-extensions in fragile matroids

Cites Work

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• Stabilizers of classes of representable matroids
• Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
• The excluded minors for GF(4)-representable matroids
• Partial fields and matroid representation
• On the Uniqueness of Matroid Representations Over GF(4)
• Some Local Extremal Connectivity Results for Matroids
• On Matroids Representable over 𝐺𝐹(3) and Other Fields

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