Topological representations of matroid maps
β Scribed by Matthew T. Stamps
- Book ID
- 118800033
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 881 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0925-9899
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We present a new direct proof of the Folkman-Lawrence topological representation theorem for oriented matroids of rank 3.
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.
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