Mathematician Gian-Carlo Rota conjectured in 1971 that, for every finite field, the family of matroids that can be represented over that field hasâ€¦Â (More)

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2016

2016

- Shalev Ben-David, James F. Geelen
- J. Comb. Theory, Ser. B
- 2016

Article history: Received 5 November 2013 Available online xxxxÂ

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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 vectorâ€¦Â (More)

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2012

2012

- Dillon Mayhew, Geoff Whittle, Stefan H. M. van Zwam
- J. Comb. Theory, Ser. B
- 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. Theâ€¦Â (More)

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2007

2007

- James F. Geelen, Kerri Webb
- SIAM J. Discrete Math.
- 2007

Rota conjectured that if (B1, . . . , Bn) are disjoint bases in a rank-n matroid M , then there are n disjoint transversals ofâ€¦Â (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. Namelyâ€¦Â (More)

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2006

2006

- James F. Geelen, Peter J. Humphries
- SIAM J. Discrete Math.
- 2006

Rota conjectured that, given n disjoint bases of a rank-n matroid M , there are n disjoint transversals of these bases that areâ€¦Â (More)

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2006

2006

- James F. Geelen, Bert Gerards, Geoff Whittle
- J. Comb. Theory, Ser. B
- 2006

We prove that an excluded minor for the class of GF(q)-representable matroids cannot contain a large projective geometry over GFâ€¦Â (More)

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2002

2002

- James F. Geelen, Geoff Whittle
- J. Comb. Theory, Ser. B
- 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 isâ€¦Â (More)

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2002

2002

One of the central problems in matroid theory is Rotaâ€™s conjecture that, for all prime powers q, the class of GF (qâ€¦Â (More)

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1995

1995

- Timothy Y. Chow
- Discrete Mathematics
- 1995

We present previously unpublished elementary proofs by Dekker and Ottens (1991) and Boyce (private communication) of a specialâ€¦Â (More)

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