Ruixue Zhang

collaborators

2 papers

math.CO2026

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 $α > 1$ , let $L_{r} (α)$ denote the set of positive real numbers defined recursively: $α - 1 \in L_{r} (α)$ and, for any mul…

math.CO2025

Existence of trees with prescribed maximum degrees and spectral radii

Fengming Dong, Ruixue Zhang

It is well known that the spectral radius $ρ (T)$ of a tree $T$ with at least $3$ vertices has the property that $\frac{1}{4} ρ (T)^{2} + 1 < Δ (T) \leq ρ (T)^{2}$ , where $Δ (T)$ is the maximum degre…