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arxiv: 1101.4691 · v1 · pith:DIWVNKWNnew · submitted 2011-01-25 · 🧮 math.CO

Certifying Non-representability of Matroids Over Prime Fields

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keywords primecertifyingelementevaluationsfieldsmatroidmatroidsnon-representability
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It is proved that, for a prime number $p$, showing that an $n$-element matroid is not representable over $GF(p)$ requires only $O(n^2)$ rank evaluations.

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