4 problems

Let $K_n^r$ be the complete $r$-uniform hypergraph and $K_q^r$ its complete $q$-vertex subhypergraph. A packing is a collection of edge-disjoint copies of $K_q^r$ in $K_n^r$. Erdős…

Let $K$ be a centrally symmetric convex body in $\mathbb{R}^2$, and consider packings by translates of $K$. A packing is diffusively dominant when its associated mass distribution…

Let ${\mathcal{A}}$ and ${\mathcal{B}}$ be the two square-rim packings with an extra mass in one corner described in the example. The packing ${\mathcal{B}}$ is uniformly recurrent…

Let $H(n,q)$ be the Hamming graph, and let a $\lambda$-fold $1$-packing be a code whose radius-$1$ balls cover each vertex at most $\lambda$ times. Proposition establishes that dis…