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arXiv · 2307.14275

Representing matroids via pasture morphisms

Tianyi Zhang·Justin Chen
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Abstract

Using the framework of pastures and foundations of matroids developed by Baker-Lorscheid, we give algorithms to: (i) compute the foundation of a matroid, and (ii) compute all morphisms between two pastures. Together, these provide an efficient method of solving many questions of interest in matroid representations, including orientability, non-representability, and computing all representations of a matroid over a finite field.

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Tianyi Zhang, Justin Chen. 2023-07-26. Representing matroids via pasture morphisms. https://arxiv.org/abs/2307.14275

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