Zhiwen Wang

activity

20192023

most citedThe multiplicity of a Hermitian eigenvalue on graphs

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2023★ 2 cited

The multiplicity of a Hermitian eigenvalue on graphs

Qian-Qian Chen, Ji-Ming Guo, Zhiwen Wang

For a graph $G$ , let $S (G)$ be the set consisting of Hermitian matrices whose graph is $G$ . Denoted by $m_{B} (G, λ)$ the multiplicity of an eigenvalue $λ$ of $B(G)\in \mathc…

math.CO2022

Maximum degree and spectral radius of graphs in terms of size

Zhiwen Wang, Ji-Ming Guo

Research on the relationship of the (signless Laplacian) spectral radius of a graph with its structure properties is an important research project in spectral graph theory. Denote…

math.CO2020

The $A_{α}$ -spectral radius and perfect matchings of graphs

Yanhua Zhao, Xueyi Huang, Zhiwen Wang

Let $α \in [0, 1)$ , and let $G$ be a graph of even order $n$ with $n \geq f (α)$ , where $f (α) = 10$ for $0 \leq α \leq 1/2$ , $f (α) = 14$ for $1/2 < α \leq 2/3$ and $f (α) = 5/ (1 - α)$ for $2/3 < α < 1$ . I…

math.CO2019

On the rank (nullity) of a connected graph

Zhiwen Wang, Jiming Guo

The rank $r (G)$ of a graph $G$ is the rank of its adjacency matrix $A (G)$ and the nullity $η (G)$ of $G$ is the multiplicity of $0$ as an eigenvalue of $A (G)$ . In this paper, we pro…

The multiplicity of a Hermitian eigenvalue on graphs

Maximum degree and spectral radius of graphs in terms of size

The Aα​-spectral radius and perfect matchings of graphs

On the rank (nullity) of a connected graph

The $A_{α}$ -spectral radius and perfect matchings of graphs