Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness

Masahiro Hachimori, Kenji Kashiwabara

For a property $\mathcal{P}$ of simplicial complexes, a simplicial complex $\Gamma$ is an obstruction to $\mathcal{P}$ if $\Gamma$ itself does not satisfy $\mathcal{P}$ but all of its proper restrictions s…