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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

1 vote

Difficult examples for Frankl's union-closed conjecture

Here is a generalisation, quite a strong one : Let $E$ be a finite set $F\subset \mathcal P(E)$, such that $\emptyset\notin F$, $E\in F$, and $F$ closed for union. Let $f(F)=\left\{x\in E| |F_x|<|F …
Mario Von Kutta Bestof's user avatar