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Matroid representation of clique complexes

✍ Scribed by Kenji Kashiwabara; Yoshio Okamoto; Takeaki Uno

Book ID
108112659
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
532 KB
Volume
155
Category
Article
ISSN
0166-218X

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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.

Stabilizers of Classes of Representable
Stabilizers of Classes of Representable Matroids
✍ 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