Binary matroid

In matroid theory, a binary matroid is a matroid that can be represented over the finite field GF(2). That is, up to isomorphism, they are the…

Papers overview

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2019

2018

2016

For each integer $n \geq 2$, we prove that, if $M$ is a simple rank-$r$ $PG(n-1,2)$-free binary matroid with $|M|>\left(1-\frac{3…

2012

The Splitter Theorem states that, if N is a 3-connected proper minor of a 3-connected matroid M such that, if N is a wheel or…

2009

Recently, Ji et al. disproved the local-unitary-local Clifford (LU-LC) conjecture and showed that the local unitary (LU) and…

2003

1999

We show that, if M is a connected binary matroid of cogirth at least five which does not have both an F7-minor and an F*7-minor…

1994

Given a binary matroid M specified by a port oracle, we can in polynomial number of calls to the oracle construct a binary…

1990

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…