Let F 7 denote the Fano matroid and e be a fixed element of F 7 . Let P(F 7 , e) be the family of matroids obtained by taking the parallel connection of one or more copies of F 7 about e. Let M be a simple binary matroid such that every cocircuit of M has size at least d 3. We show that if M does no
On Large Circuits in Matroids
β Scribed by Pou-Lin Wu
- Book ID
- 105745141
- Publisher
- Springer Japan
- Year
- 2001
- Tongue
- English
- Weight
- 281 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
Let F 7 denote the Fano matroid and M be a simple connected binary matroid such that every cocircuit of M has size at least d 3. We show that if M does not have an F 7 -minor, M{F\* 7 , and d Γ [5, 6, 7, 8], then M has a circuit of size at least min[r(M )+1, 2d ]. We conjecture that the latter resul
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