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Extremal Set Systems with Weakly Restricted Intersections

✍ Scribed by Van H. Vu


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
331 KB
Volume
19
Category
Article
ISSN
0209-9683

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Set Systems with Restricted Intersection
✍ LΓ‘szlΓ³ Babai; PΓ©ter Frankl; Samuel Kutin; Daniel Ε tefankovič πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 236 KB

We study set systems satisfying Frankl Wilson-type conditions modulo prime powers. We prove that the size of such set systems is polynomially bounded, in contrast with V. Grolmusz's recent result that for non-prime-power moduli, no polynomial bound exists. More precisely we prove the following resul