Perfect Sets and $f$-Ideals

Jin Guo, Tongsuo Wu, Qiong Liu

A square-free monomial ideal $I$ is called an {\it $f$-ideal}, if both ${\delta }_{\mathcal{F}}(I)$ and ${\delta }_{\mathcal{N}}(I)$ have the same $f$-vector, where ${\delta }_{\mathcal{F}}(I)$ ($δ_{\math…