I am looking for ways to construct an infinite family of designs with parameters $2-(v,3,3)$ and apart from some doubling-type recursive constructions (such as in this paper) I haven't found anything ...
I want to compute exactly the hereditary discrepancy of a small (on up to 20 points) set system - is there an efficient way to do it? Brute force search over the discrepancies of all subsystems seems ...
Is there an analogue of the Beck-Fiala theorem for linear or hereditary discrepancies of hypergraphs?
Frankl's conjecture, open since 1979, says that if $F$ is a union-closed family of subsets of $X$, then there is some $x \in X$ such that $x$ appears in at least half the sets in $F$. What was the ...