On the Fractional Covering Number of Hypergraphs
✍ Scribed by Chung, F. R. K.; Füredi, Z.; Garey, M. R.; Graham, R. L.
- Book ID
- 118196866
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1988
- Tongue
- English
- Weight
- 532 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0895-4801
- DOI
- 10.1137/0401005
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Burr recently proved [3] that for positive integers m , , m 2 , . . , , m, and any graph G we have x(G) 5 &, if and only if G can be expressed as the edge disjoint union of subgraphs F, satisfying x(F,) 5 m,. This theorem is generalized to hypergraphs. By suitable interpretations the generalization
In the early 1980's, V. Ro dl proved the Erdo s Hanani Conjecture, sparking a remarkable sequence of developments in the theory of packing and covering in hypergraphs of bounded edge size. Generalizations were given by P. Frankl and Ro dl, by N. Pippenger, and by others. In each case, an appropriate