4 problems

Let $m_n(*, *, 1)$ and $m_n(*, *, *)$ be the extremal quantities for the corresponding set pair systems, with notation as in the paper. Vanishing proportion conjecture. … The conje…

Let $m_n(*, *, 1)$ denote the maximum size of a $(1,1,1)$-? set pair system on an $n$-element ground set under the notation of the paper. Uniform deficit conjecture. There exists a…

Let $N$ and $n$ be positive integers, and let $\mathcal{F}\subset \mathcal{P}(N)\times\mathcal{P}(N)$ have size … Assume that every $(A_j,B_j)\in\mathcal{F}$ satisfies…

Király–Nagy–Pálvölgyi–Visontai conjecture.