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arXiv · 2302.13175

Computing excluded minors for classes of matroids representable over partial fields

Nick Brettell·Rudi Pendavingh
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Abstract

We describe an implementation of a computer search for the "small" excluded minors for a class of matroids representable over a partial field. Using these techniques, we enumerate the excluded minors on at most 15 elements for both the class of dyadic matroids, and the class of 2-regular matroids. We conjecture that there are no other excluded minors for the class of 2-regular matroids; whereas, on the other hand, we show that there is a 16-element excluded minor for the class of dyadic matroids.

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Nick Brettell, Rudi Pendavingh. 2024-08-25. Computing excluded minors for classes of matroids representable over partial fields. https://doi.org/10.37236/12078

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