Consider a simple matroid M(E) with rank r = 3. We prove that there is no partition E = E1uE2 such that, for every line i of M, at least one of the sets lnEl or lnEz is a singleton. A natural generalization of this result to higher ranks is considered.
Colorability of induced matroids
✍ Scribed by Richard A. Brualdi; Amélia Fonseca
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 484 KB
- Volume
- 223-224
- Category
- Article
- ISSN
- 0024-3795
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