S-hypersimplices, pulling triangulations, and monotone paths

Sebastian Manecke, Raman Sanyal, Jeonghoon So

An $S$-hypersimplex for $S\subseteq \{0,1,\dots ,d\}$ is the convex hull of all $0/1$-vectors of length $d$ with coordinate sum in $S$. These polytopes generalize the classical hy…