Widths of regular components for n-regular tree $T(n)$

Let $(T(n),\mathrm{\Omega })$ be the covering of the generalized Kronecker quiver $K(n)$, where $\mathrm{\Omega }$ is a bipartite orientation. Given a regular Auslander–Reiten component $\text{cD}$ of $\text{modd}(T(n),\mathrm{\Omega })$, we introduce two invariants: the width $\text{cW}(\text{cD})$ and the number of flow modules $b(\text{cD})$. We show that $\text{cW}(\text{cD})\ge \frac{b(\text{cD})+1}{2}$. In particular, we get $\{\text{cW}(\text{cD})\mathrm{\mid }\text{cD}\text{ is a regular component}\}=\mathbb{N}$.