Polynomial positivity cones for Coxeter roots and walks in trees

Dongxiu Cai, Zhenbo Chen, Jiasheng Zeng +1

For a finite simple graph $G$ and an integer $k\ge 0$, let $w_k(G)$ denote the number of walks of length $k$. We prove the conjecture of Täubig, Weihmann, Kosub, Hemmecke, and Mayr…