Vertex decomposability and weakly polymatroidal ideals

Amir Mafi, Dler Naderi, Hero Saremi

Let $K$ be a field and $R=K[x_1,\dots ,x_n]$ be the polynomial ring in $n$ variables over a field $K$. Let $\Delta$ be a simplicial complex on $n$ vertices and $I=I_{\Delta }$ be its Stanley-R…