Liwen Zhang

collaborators

3 papers

math.CO2026

The minimum spectral radius of $t P_{4}$ -saturated graphs

Junxue Zhang, Liwen Zhang

A graph $G$ is called {\em $F$ -saturated} if $G$ does not contain $F$ as a subgraph but adding any missing edge to $G$ creates a copy of $F$ . In this paper, we consider the spectral…

math.CO2025

The first Steklov eigenvalue bound for graphs of positive genus

Lixiang Chen, Yongtang Shi, Liwen Zhang

Let $G$ be a graph of genus $g$ with boundary $I^´ I^c ◯$ . For $g = 0$ , Lin and Zhao [J. Lond. Math. Soc. 112 (2025), Paper No. e70238] proved an upper bound for the first (non-trivial) S…

math.CO2025

Spectral radius and rainbow $k$ -factors of graphs

Liwen Zhang, Zhiyuan Zhang

Let $G = {G_{1}, \dots, G_{\frac{k n}{2}}}$ be a set of graphs on the same vertex set $V = {1, \dots, n}$ where $k \cdot n$ is even. We say $G$ admits a rainbow $k$ -f…

The minimum spectral radius of tP4​-saturated graphs

The first Steklov eigenvalue bound for graphs of positive genus

Spectral radius and rainbow k-factors of graphs

The minimum spectral radius of $t P_{4}$ -saturated graphs

Spectral radius and rainbow $k$ -factors of graphs