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Representations of Matroids in Semimodular Lattices

✍ Scribed by Alexandre V. Borovik; Israel M. Gelfand; Neil White


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
142 KB
Volume
22
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


Stabilizers of Classes of Representable
✍ Geoff Whittle πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 255 KB

Let M be a class of matroids representable over a field F. A matroid N # M stabilizes M if, for any 3-connected matroid M # M, an F-representation of M is uniquely determined by a representation of any one of its N-minors. One of the main theorems of this paper proves that if M is minor-closed and c

The Cocycle Lattice of Binary Matroids
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We study the lattice (grid) generated by the incidence vectors of cocycles of a binary matroid and its dual tattice. We characterize those binary matroids for which the obvious necessary conditions for a vector to belong to the cocycle lattice are also sufficient. This characterization yields a poly