A generalization of $k$-Cohen-Macaulay complexes

Hassan Haghighi, Rahim Zaare-Nahandi, Siamak Yassemi

For a positive integer $k$ and a non-negative integer $t$ a class of simplicial complexes, to be denoted by $k$-${\mathrm{CM}}_t$, is introduced. This class generalizes two notions for…