Math 2.0

Theorem

Erdős-Rado Delta System Theorem (corollary of the sunflower lemma)

Statement

For each k>0k>0, r>0r>0, there is an integer f(k,r)f(k,r) such that if a set system FF of kk-sets is of cardinality greater than f(k,r)f(k,r), then FF contains a sunflower of size rr.

Further reading

  1. Wikipedia, page 8208248, revision 1372848827, Sunflower (mathematics), section Sunflower lemma and conjecture. adopted
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