Magic positivity conjecture for generalized parking-function polytopes
For b=(b1,…,bn)∈Z>0n\mathbf{b}=(b_1,\dots,b_n)\in\mathbb{Z}_{>0}^nb=(b1,…,bn)∈Z>0n, let Xn(b)\mathfrak{X}_n(\mathbf{b})Xn(b) denote the b\mathbf{b}b-parking-function polytope, the convex hull of all b\mathbf{b}b-parkin…