Vertex-weighted graphs and freeness of $\psi$-graphical arrangements

Daisuke Suyama, Shuhei Tsujie

Let $G$ be a simple graph of $\ell$ vertices $\{1,\dots ,\ell \}$ with edge set $E_G$. The graphical arrangement ${\mathcal{A}}_G$ consists of hyperplanes $ \{x_{i}-x_…