Authors: Ankush Hore
Frankl's Conjecture, from 1979, states that any finite union-closed family, containing at least one non-empty member set, must have an element which belongs to at least half of the member-sets. In this paper we list out some properties of the hypothetical minimal counter-example to this conjecture. In particular, we discuss the frequency of 3 distinct elements in the minimal counter-example. We also apply these findings to finite bipartite graphs.
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