𝔖 Bobbio Scriptorium
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Topological representations of matroid maps

✍ Scribed by Matthew T. Stamps


Book ID
118800033
Publisher
Springer
Year
2012
Tongue
English
Weight
881 KB
Volume
37
Category
Article
ISSN
0925-9899

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πŸ“œ SIMILAR VOLUMES


Inequivalent representations of ternary
✍ 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.

Matroid representation of clique complex
✍ Kenji Kashiwabara; Yoshio Okamoto; Takeaki Uno πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 532 KB
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