Skeleton Ideals of Certain Graphs, Standard Monomials and Spherical Parking Functions

Chanchal Kumar, Gargi Lather, Sonica

Let $G$ be an (oriented) graph on the vertex set $V=\{0,1,\dots ,n\}$ with root $0$. Postnikov and Shapiro associated a monomial ideal ${\mathcal{M}}_G$ in the polynomial ring $…