Ming-Zhu Chen

activity

20172026

most citedThe signless Laplacian spectral radius of graphs without intersecting odd cycles

5 citations · 7 across the 11 of their papers we have counts for

collaborators

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13 papers · 1 filter

math.CO2026

Turán extremal graphs vs. Signless Laplacian spectral Turán extremal graphs

Ming-Zhu Chen, Ya-Lei Jin, Peng-Li Zhang +1

Let $F$ be a graph with chromatic number $χ (F) = r + 1$ . Denote by $e x (n, F)$ and $E x (n, F)$ the Turán number and the set of all extremal graphs for $F$ , respectively. In addition, $…

math.CO2023

The spectral radius of minor free graphs

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

In this paper, we present a sharp upper bound for the spectral radius of an $n$ -vertex graph without $F$ -minor for sufficient large $n$ , where $F$ is obtained from the complete gra…

math.CO2023

On the $A_{α}$ -spectral radius of graphs without linear forests

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

Let $A (G)$ and $D (G)$ be the adjacency and degree matrices of a simple graph $G$ on $n$ vertices, respectively. The \emph{ $A_{α}$ -spectral radius} of $G$ is the largest eigenvalue of…

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…

Turán extremal graphs vs. Signless Laplacian spectral Turán extremal graphs

The spectral radius of minor free graphs

On the Aα​-spectral radius of graphs without linear forests

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

On the $A_{α}$ -spectral radius of graphs without linear forests

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