Majorization, packing, covering and matroids
โ Scribed by Zbigniew Lonc
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 453 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study the problem of covering or packing a finite group with subgroups of a specified order and obtain bounds on the size of such covers and packings. Our main results provide characterizations of the elementary abelian groups by the existence of large packings or small covers, respectively. Henc
It is shown that if G is a graph such that the maximum size of a set of pairwise edge-disjoint triangles is v(G), then there is a set C of edges of G of size at most (3 -e)v(G) such that E(T) N C 7~ 0 for every triangle T of G, where e> 3. This is the first nontrivial bound known for a long-standing