Bosnjak, Ivica; Markovic, Petar

The 11-element case of Frankl's conjecture

Electron. J. Comb. 15(1), Research Paper R88, 17 p. (2008)


Summary: In 1979, P. Frankl conjectured that in a finite union-closed family F of finite sets, $F = {\emptyset }$, there has to be an element that belongs to at least half of the sets in F. We prove this when | F| $\leq 11$.