Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
From MaRDI portal
Publication:1850468
DOI10.1006/jctb.1999.1947zbMath1024.05017OpenAlexW1993456560MaRDI QIDQ1850468
Dirk Vertigan, Charles Semple, James G. Oxley
Publication date: 10 December 2002
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jctb.1999.1947
Related Items (27)
Inequivalent representations of matroids having no \(U_{3,6}\)-minor ⋮ Fork-decompositions of matroids ⋮ Relaxations of \(\mathrm{GF}(4)\)-representable matroids ⋮ Decompositions of signed-graphic matroids ⋮ The structure of 3-connected matroids of path width three ⋮ Confinement of matroid representations to subsets of partial fields ⋮ A splitter theorem for elastic elements in 3-connected matroids ⋮ A splitter theorem on 3-connected matroids ⋮ The excluded minors for 2- and 3-regular matroids ⋮ Excluded minors are almost fragile. II: Essential elements ⋮ Homogeneous multivariate polynomials with the half-plane property ⋮ On topological spin models and generalized \(\Delta - Y\) transformations ⋮ Constructive characterizations of 3-connected matroids of path width three ⋮ Contracting an element from a cocircuit ⋮ A note on totally free matroids ⋮ Clonal sets in \(GF(q)\)-representable matroids ⋮ The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor. ⋮ The excluded minors for near-regular matroids ⋮ The excluded minors for the class of matroids that are binary or ternary ⋮ A note on clone sets in representable matroids ⋮ 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 ⋮ The structure of equivalent 3-separations in a 3-connected matroid ⋮ Recent work in matroid representation theory ⋮ Matroid 4-connectivity: A deletion-contraction theorem ⋮ Totally free expansions of matroids.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the intersections of circuits and cocircuits in matroids
- On 3-connected matroids
- Decomposition of regular matroids
- Matroid representation over GF(3)
- On minors of non-binary matroids
- A simple theorem on 3-connectivity
- A note on the production of matroid minors
- On Reid's characterization of the ternary matroids
- A characterization of certain excluded-minor classes of matroids
- Weak maps and stabilizers of classes of matroids
- Stabilizers of classes of representable matroids
- The excluded minors for GF(4)-representable matroids
- Totally free expansions of matroids.
- A characterisation of the matroids representable over GF(3) and the rationals
- Partial fields and matroid representation
- On maximum-sized \(k\)-regular matroids
- On the Uniqueness of Matroid Representations Over GF(4)
- ON MATROID CONNECTIVITY
- Modular Constructions for Combinatorial Geometries
- Some Local Extremal Connectivity Results for Matroids
- Connectivity in Matroids
- Lectures on matroids
- On Matroids Representable over 𝐺𝐹(3) and Other Fields
This page was built for publication: Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
