Rota's conjecture

Mathematician Gian-Carlo Rota conjectured in 1971 that, for every finite field, the family of matroids that can be represented over that field has… (More)
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1995-2016
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2016
2016
Article history: Received 5 November 2013 Available online xxxx 
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Review
2014
Review
2014
I n 1970, Gian-Carlo Rota posed a conjecture predicting a beautiful combinatorial characterization of linear dependence in vector… (More)
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2012
2012
Fix a matroid N . A matroid M is N -fragile if, for each element e of M , at least one of M\e and M/e has no N -minor. The… (More)
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2007
2007
Rota conjectured that if (B1, . . . , Bn) are disjoint bases in a rank-n matroid M , then there are n disjoint transversals of… (More)
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2007
2007
  • 2007
Introduction. An analogue to a theorem of Ramsey [5] has been conjectured for finite vector spaces by Gian-Carlo Rota. Namely… (More)
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2006
2006
Rota conjectured that, given n disjoint bases of a rank-n matroid M , there are n disjoint transversals of these bases that are… (More)
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2006
2006
We prove that an excluded minor for the class of GF(q)-representable matroids cannot contain a large projective geometry over GF… (More)
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2002
2002
We begin by giving some background to this result. A matroid M is an excluded minor for a minor-closed class of matroids if M is… (More)
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2002
2002
One of the central problems in matroid theory is Rota’s conjecture that, for all prime powers q, the class of GF (q… (More)
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1995
1995
We present previously unpublished elementary proofs by Dekker and Ottens (1991) and Boyce (private communication) of a special… (More)
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