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Strongly inequivalent representations and Tutte polynomials of matroids

✍ Scribed by JosephE. Bonin

Book ID
105754175
Publisher
Springer
Year
2003
Tongue
English
Weight
269 KB
Volume
49
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

Inequivalent representations of ternary
Inequivalent representations of ternary matroids
✍ Geoff Whittle πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 327 KB

This paper considers representations of ternary matroids over fields other than GF(3). It is shown that a 3-connected ternary matroid representable over a finite field F has at most IFI -2 inequivalent representations over F. This resolves a special case of a conjecture of Kahn in the affirmative.

On Inequivalent Representations of Matro
On Inequivalent Representations of Matroids over Finite Fields
✍ 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