Some intersection theorems for ordered sets and graphs
โ Scribed by F.R.K Chung; R.L Graham; P Frankl; J.B Shearer
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 642 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists
Two variations of set intersection representation are investigated and upper and lower bounds on the minimum number of labels with which a graph may be represented are found that hold for almost all graphs. Specifically, if &(G) is defined to be the minimum number of labels with which G may be repre
## Dedicated to E. Corominas Given a graph G =(X, E), we try to know when it is possible to consider G as the intersection graph of a finite hypergraph, when some restrietions are given on the inclusion order induced on the edge set of this hypergraph. We give some examples concerning the interva
In this journal, Lcclerc proved that the dimension of the partiailly ordered slet consisting of all subf~ce'~ of a tree T, m&red by inclusion, is the number of end yuints of 'I'. Leclerc posed the probkrn of determitAng the dimension the partially ed set P consisting of all inducxxI connected subgra