A Recursive Characterization of Laplacian Spectral Radii of Trees with Bounded Maximum Degree

Fengming Dong, Ruixue Zhang

For any positive integer $r$ and real number $\alpha >1$, let ${\mathcal{L}}_r(\alpha )$ denote the set of positive real numbers defined recursively: $\alpha -1\in {\mathcal{L}}_r(\alpha )$ and, for any mul…