Xiaodong Zhang

activity

20092023

most citedThe Laplacian eigenvalues of graphs: a survey

47 citations · 151 across the 69 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.CO2022★ 1 cited

On weighted spectral radius of unraveled balls and normalized Laplacian eigenvalues

Yuzhenni Wang, Xiao-Dong Zhang

For a graph $G$ , the unraveled ball of radius $r$ centered at a vertex $v$ is the ball of radius $r$ centered at $v$ in the universal cover of $G$ . We obtain a lower bound on the w…

math.CO2022

The signless Laplacian spectral radius of graphs without trees

Ming-Zhu Chen, Zhao-Ming Li, Xiao-Dong Zhang

Let $Q (G) = D (G) + A (G)$ be the signless Laplacian matrix of a simple graph of order $n$ , where $D (G)$ and $A (G)$ are the degree diagonal matrix and the adjacency matrix of $G$ , respec…

math.CO2022

Spectral extremal results on the $α$ -index of graphs without minors and star forests

Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang

Let $G$ be a graph of order $n$ , and let $A (G)$ and $D (G)$ be the adjacency matrix and the degree matrix of $G$ respectively. Define the convex linear combinations $A_{α} (G)$ of $A (…

math.CO2022

The bipartite Turan number and spectral extremum for linear forests

Ming-Zhu Chen, Ning Wang, Long-Tu Yuan +1

The bipartite Turán number of a graph $H$ , denoted by $e x (m, n; H)$ , is the maximum number of edges in any bipartite graph $G = (X, Y; E)$ with $∣ X ∣ = m$ and $∣ Y ∣ = n$ which does not conta…

On weighted spectral radius of unraveled balls and normalized Laplacian eigenvalues

The signless Laplacian spectral radius of graphs without trees

Spectral extremal results on the α-index of graphs without minors and star forests

The bipartite Turan number and spectral extremum for linear forests

Spectral extremal results on the $α$ -index of graphs without minors and star forests