An extension of matroid rank submodularity and the -Rayleigh property.

In this paper, we prove that an element splitting operation by every pair of elements on a cographic matroid yields a cographic matroid if and only if it has no minor isomorphic to M(K₄).

Broken Circuits in Matroids-Dohmen’s Inductive Proof

Wojciech Kordecki, Anna Łyczkowska-Hanćkowiak (2013)

Discussiones Mathematicae Graph Theory

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Dohmen [4] gives a simple inductive proof of Whitney’s famous broken circuits theorem. We generalise his inductive proof to the case of matroids

On the excluded minors for matroids of branch-width three.

Hliněný, Petr (2002)

The Electronic Journal of Combinatorics [electronic only]

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Oriented matroids in terms of order functions.

Jaritz, Renate (1997)

Beiträge zur Algebra und Geometrie

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Displaying similar documents to “An extension of matroid rank submodularity and the Z -Rayleigh property.”

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