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Title of Journal: Combinatorica

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Abbravation: Combinatorica

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Springer Berlin Heidelberg

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10.1016/0304-3959(88)90282-5

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1439-6912

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Odd circuits in dense binary matroids

Authors: Jim Geelen Peter Nelson
Publish Date: 2015/07/23
Volume: 37, Issue: 1, Pages: 41-47
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Abstract

We show that for each real number α0 and odd integer k≥5 there is an integer c such that if M is a simple binary matroid with M≥α2rM and with no kelement circuit then M has critical number at most c The result is an easy application of a regularity lemma for finite abelian groups due to Green


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