Set families with a forbidden subposet

Details Set families with a forbidden subposet Set families with a forbidden subposet

2008-03-26

arxiv.org/abs/0803.3840v3

Mathematics

Combinatorics

10 pages, 1 figure, motivation and details expanded, final version

Scientific paper

We asymptotically determine the size of the largest family F of subsets of
{1,...,n} not containing a given poset P if the Hasse diagram of P is a tree.
This is a qualitative generalization of several known results including
Sperner's theorem.

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