On the number of latent subsets of intersecting collections
โ Scribed by D.J. Kleitman; T.L. Magnanti
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 291 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be the graph obtained as the edge intersection of two graphs G 1 , G 2 on the same vertex set V . We show that if at , where ฮฑ() is the cardinality of the largest stable set. Moreover, for general G 1 and G 2 , we show that ฮฑ(G) R(ฮฑ(G 1 ) + 1, ฮฑ(G 2 ) + 1) -1, where R(k, ) is the Ramsey numbe
We find asymptotic upper and lower bounds on the number of linear extensions of the containment ordering of subsets of a finite set. These agree in their most significant non-trivial terms. A related open question is described. L > 2"((n + 1)log 2 -4 log 2m -5 + o(1 ln)).