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papers

Publications (20)

math.CO2013

A lower bound of the least signless Laplacian eigenvalue of a graph

Shu-Guang Guo, Yong-Gao Chen, Guanglong Yu

Let $G$ be a simple connected graph on $n$ vertices and $m$ edges. In [Linear Algebra Appl. 435 (2011) 2570-2584], Lima et al. posed the following conjecture on the least eigenvalu…

math.CO2023

The unicyclic hypergraph with extremal spectral radius

Guanglong Yu, Lin Sun

For a $h y p er g r a p h$ $G = (V, E)$ consisting of a nonempty vertex set $V = V (G)$ and an edge set $E = E (G)$ , its $a d j a ce n cy$ $ma t r i x$ $\mathcal {A}_{\mathcal{…

math.CO2024

Extremal eigenvalues of outerplanar graphs

Guanglong Yu

The extremal eigenvalues including maximum eigenvalues and the minimum eigenvalues about outerplanar graphs are investigated in this paper. Some structural characterizations about…

math.CO2022

On the Ky Fan $k$ -norm of the $L I$ -matrix of graphs

Zhen Lin, Lianying Miao, Guanglong Yu +1

Let $A (G)$ and $D (G)$ be the adjacency matrix and the degree diagonal matrix of a graph $G$ , respectively. Then $L (G) = D (G) - A (G)$ is called Laplacian matrix of the graph $G$ . Let $G…

math.CO2019

On the spectral radii of the unicyclic hypergraphs with fixed matching number

Guanglong Yu, Chao Yan, Yarong Wu +1

We determine the unique hypergraphs with maximum spectral radius among all connected $k$ -uniform ( $k \geq 3$ ) unicyclic hypergraphs with matching number at least $z$ , and among all…

math.CO2017

The domination number and the least Q-eigenvalue II