An extension of the Kruskal-Katona theorem to colored hypergraphs was given by Frankl, Fiiredi and Kalai in [Shadows of colored complexes, Mathematics Scandinavica]. Here we give a new simple proof.
A simple proof of the Kruskal-Katona theorem
โ Scribed by D.E Daykin
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 91 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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We present an analog of the well-known Kruskal-Katona theorem for the poset of subspaces of PG(n, 2) ordered by inclusion. For given k, (k < ) and m the problem is to find a family of size m in the set of -subspaces of PG(n, 2), containing the minimal number of k-subspaces. We introduce two lexicogr
## Dedicated to the memory of Eric C. Milner A new short proof is given for the following theorem of Milner: An intersecting, inclusion-free family of subsets of an n-element set has at most ( n W(n+1)ร2X ) members.