5 problems

Let $H$ be a graph with a self-gluing $d711: U_1 \to U_2$, and let $K$ be a valid minimal cut for this self-gluing. Construct the swapping $(H',\psi)=\operatorname{Sw}(H,d711,K)$ b…

Sample PLS asymptotic normality conjecture. The sample PLS is asymptotically normal with

General skew-shape asymptotic normality conjecture. Asymptotic normality for general skew shapes, rather than only block diagonal skew shapes, holds if and only if

For each $n\geq 0$, let $G_n$ be an acyclic graph on $n$ vertices, and write ${G_n \brace k}$ for the number of partitions of the vertex set of $G_n$ into $k$ non-empty independent…

Let $(F^{c(n)}_n)_{n \geq 0}$ be a sequence of forests, where $F^{c(n)}_n$ has $n$ vertices and $c(n)$ components. Let $X^{c(n)}_n$ be the number of classes in a uniformly chosen pa…