On a definition of connected sets of a matroid
โ Scribed by D.J Hartfiel; C.J Maxson
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 269 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we shall consider the following problem: up to duality, is a connected matroid reconstructible from its connectivity function? Cunningham conjectured that this question has an affirmative answer, but Seymour gave a counter-example for it. In the same paper, Seymour proved that a conne
The connectivity of a graph G and the corank of a matroid M are denoted by K(G) and p, respectively. X is shown that if a graph G is the base graph of a simple mat&d M, then K(G) L 2p and the lower bound of 2p izA best possible.
We determine the minimum num>er of independent sets of arbitrary fixed rank contained in a matroid M as M varies over all simple (respectively loopless) matroids of fixed rank and cardinality.