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

Fengming Dong, Ruixue Zhang

For a positive integer $r$ and a real number $\alpha \ge 2$, let ${\mathcal{L}}_r(\alpha )$ be the set of positive real numbers containing $\alpha -1$ and closed under the following operation: if $q_1,…