A Note on the Frankl Conjecture

Abstract

The Frankl conjecture (called also union-closed sets conjecture) is one of the famous unsolved conjectures in combinatorics of finite sets. In this short note, we introduce and to some extent justify some variants of the Frankl conjecture.

4 pages. Keywords: Union-closed sets conjecture, extremal set theory, combinatorics of finite sets, binomial expansion, combinatorics inequality