Nikiforov–Rojo edge-grafting conjecture for the α-spectral radius

Let $G_{p,s,q}(u,v)$ be the graph obtained by the edge-grafting construction referred to in the source, with $\rho_{\alpha}$ denoting the α-spectral radius. Let $\alpha\in[0,1)$ and $s=0,1$.

Nikiforov–Rojo's edge-grafting conjecture. If $q\geq1$ and $p\geq q+2$, then

$$\rho_{\alpha}(G_{p,s,q}(u,v))<\rho_{\alpha}(G_{p-1,s,q+1}(u,v)).$$

This conjecture concerns the monotonicity of the α-spectral radius under edge grafting; the supplied text does not state whether it has been resolved.