Exact values and improved bounds on $k$-neighborly families of boxes

Xinbu Cheng, Meiqin Wang, Zixiang Xu +1

A finite family $\mathcal{F}$ of $d$-dimensional convex polytopes is called $k$-neighborly if $d-k\le \text{dim}(C\cap C^{\prime })\le d-1$ for any two distinct members $C,C'\in\mathcal{F}…