Linear $d$-polychromatic $Q_{d-1}$-colorings of the Hypercube

Eugene Han, David Offner

Let $n\ge d\ge \ell \ge 1$ be integers, and denote the $n$-dimensional hypercube by $Q_n$. A coloring of the $\ell$-dimensional subcubes $Q_{\ell }$ in $Q_n$ is called a $Q_{\ell }$-co…