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On the matroids representable over GF(4)

✍ Scribed by James G Oxley


Book ID
107884234
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
89 KB
Volume
41
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


The Excluded Minors for GF(4)-Representa
✍ J.F. Geelen; A.M.H. Gerards; A. Kapoor πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 547 KB

There are exactly seven excluded minors for the class of GF(4)-representable matroids.

On Inequivalent Representations of Matro
✍ James Oxley; Dirk Vertigan; Geoff Whittle πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 586 KB

Kahn conjectured in 1988 that, for each prime power q, there is an integer n(q) such that no 3-connected GF(q)-representable matroid has more than n(q) inequivalent GF(q)-representations. At the time, this conjecture was known to be true for q=2 and q=3, and Kahn had just proved it for q=4. In this