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» On the Generation of Oriented Matroids

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DM
1998

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On exchange properties for Coxeter matroids and oriented matroids

13 years 7 months ago

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Alexandre V. Borovik, Israel M. Gelfand, Neil Whit...

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DAM
2006

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Equivalence-free exhaustive generation of matroid representations

13 years 7 months ago

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Abstract. In this paper we present an algorithm for the problem of exhaustive equivalence-free generation of 3-connected matroids which are represented by a matrix over some finite...

Petr Hlinený

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EJC
2006

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The positive Bergman complex of an oriented matroid

13 years 7 months ago

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We study the positive Bergman complex B+ (M) of an oriented matroid M, which is a certain subcomplex of the Bergman complex B(M) of the underlying unoriented matroid M. The positiv...

Federico Ardila, Caroline J. Klivans, Lauren Willi...

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COMBINATORICA
2008

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The toric ideal of a graphic matroid is generated by quadrics

13 years 7 months ago

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Describing minimal generating sets of toric ideals is a well-studied and difficult problem. Neil White conjectured in 1980 that the toric ideal associated to a matroid is generated...

Jonah Blasiak

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COMBINATORICS
1999

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On a Conjecture Concerning Dyadic Oriented Matroids

13 years 7 months ago

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A rational matrix is totally dyadic if all of its nonzero subdeterminants are in {

Matt Scobee

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