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arxiv: math/0202294 · v1 · submitted 2002-02-27 · 🧮 math.CO · math.AC

Representation of matroids

classification 🧮 math.CO math.AC
keywords fieldmatroidalgebraicalgorithmbasesclosedcriteriondecide
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In this paper we give a necessary and sufficient criterion for representability of a matroid over an algebraic closed field. This leads to an algorithm, based on an extension of Groebner Bases, in order to decide if a given matroid is representable over such a field.

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