Certifying Non-representability of Matroids Over Prime Fields

Details Certifying Non-representability of Matroids Over Prime Fields Certifying Non-representability of Matroids Over Prime Fields

2011-01-25

arxiv.org/abs/1101.4691v1

Mathematics

Combinatorics

Scientific paper

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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