2 problems

Let $\Delta$ be an $l$-CM simplicial complex of maximal girth. Let $c$ denote the parameter used for its dimension in the paper, and suppose that $\Delta$ is not the $r$-skeleton o…

Let $s$ be a positive integer, and let $\Delta$ be an $s$-Cohen–Macaulay complex of dimension $d-1$, with $h$-vector $(h_0,h_1,\ldots,h_d)$. The stronger $s$-Cohen–Macaulay $M$-vec…