Regular matroid

Known as: Regular

In mathematics, a regular matroid is a matroid that can be represented over all fields.

Papers overview

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2019

The Bergman fan of a matroid is the intersection of tropical hyperplanes defined by the circuits. A tropical basis is a subset of…

2017

2016

We present a simple proof of the fact that the base (and independence) polytope of a rank $n$ regular matroid over $m$ elements…

2013

In 1971, Nash-Williams proved that if G is a simple 2-connected graph on n vertices having minimum degree at least 3(n+2), then…

2010

2009

2005

The key to Seymour's Regular Matroid Decomposition Theorem is his result that each 3‐connected regular matroid with no R10‐ or…

2005

Jensen and Toft 8 conjectured that every 2‐edge‐connected graph without a K5‐minor has a nowhere zero 4‐flow. Walton and Welsh 19…

2005

Recently Hochstattler and Nesetřil [3] introduced the flow lattice of an oriented matroid as generalization of the lattice of all…

1967

It is s hown in [1] I that e very graphic matroid is regular ([1], 5.63) and even ([IJ, 9.23). Moreover a regular matroid c an be…