Shu-Yu Cui

activity

20132025

most citedOn the arithmetic-geometric index of graphs

11 citations · 19 across the 16 of their papers we have counts for

collaborators

Showing math.COShow all

14 papers · 1 filter

math.CO2023

Construction of graphs being determined by their generalized Q-spectra

Gui-Xian Tian, Jun-Xing Wu, Shu-Yu Cui +1

Given a graph $G$ on $n$ vertices, its adjacency matrix and degree diagonal matrix are represented by $A (G)$ and $D (G)$ , respectively. The $Q$ -spectrum of $G$ consists of all the e…

math.CO2022

More on minors of Hermitian (quasi-)Laplacian matrix of the second kind for mixed graphs

Qi Xiong, Gui-Xian Tian, Shu-Yu Cui

A mixed graph $M_{G}$ is the graph obtained from an unoriented simple graph $G$ by giving directions to some edges of $G$ , where $G$ is often called the underlying graph of $M_{G}$ …

math.CO2022

Quantum State Transfer on Neighborhood Corona of Two Graphs

Xiao-Qin Zhang, Qi Xiong, Gui-Xian Tian +1

Given two graphs $G_{1}$ of order $n_{1}$ and $G_{2}$ , the neighborhood corona of $G_{1}$ and $G_{2}$ , denoted by $G_{1} ★ G_{2}$ , is the graph obtained by taking one copy of…

math.CO2022

The generalized reciprocal distance matrix of graphs

Gui-Xian Tian, Mei-Jiao Cheng, Shu-Yu Cui

Let $G$ be a simple undirected connected graph with the Harary matrix $R D (G)$ , which is also called the reciprocal distance matrix of $G$ . The reciprocal distance signless Laplacia…

math.CO2021

Quantum state transfer on Q-graphs

Xiao-Qin Zhang, Shu-Yu Cui, Gui-Xian Tian

We study the existence of quantum state transfer in $Q$ -graphs in this paper. The $Q$ -graph of a graph $G$ , denoted by $Q (G)$ , is the graph derived fr…

math.CO2021

The signless Laplacian state transfer in Q-graph

Xiao-Qin Zhang, Shu-Yu Cui, Gui-Xian Tian

The $Q$ -graph of a graph $G$ , denoted by $Q (G)$ , is the graph derived from $G$ by plugging a new vertex to each edge of $G$ and adding a new edge between two ne…

math.CO2020★ 11 cited

On the arithmetic-geometric index of graphs

Shu-Yu Cui, Weifan Wang, Gui-Xian Tian +1

Very recently, the first geometric-arithmetic index $G A$ and arithmetic-geometric index $A G$ were introduced in mathematical chemistry. In the present paper, we first obtain some l…

math.CO2019★ 5 cited

On the generalized distance spectral radius of graphs

Shu-Yu Cui, Gui-Xian Tian, Lu Zheng

The generalized distance spectral radius of a connected graph $G$ is the spectral radius of the generalized distance matrix of $G$ , defined by $$D_α(G)=αTr(G)+(1-α)D(G), \;\;0\leα\…

math.CO2017

Some improved bounds on two energy-like invariants of some derived graphs

Gui-Xian Tian, Shu-Yu Cui

Given a simple graph $G$ , its Laplacian-energy-like invariant $L E L (G)$ and incidence energy $I E (G)$ are the sum of square root of its all Laplacian eigenvalues and signless Laplaci…

math.CO2017

On the Laplacian spectra of some double join operations of graphs

Gui-Xian Tian, Jing-Xiang He, Shu-Yu Cui

Many variants of join operations of graphs have been introduced and their spectral properties have been studied extensively by many researchers. This paper mainly focuses on the La…

math.CO2017★ 1 cited

On the normalized Laplacian spectra of some subdivision joins of two graphs

Gui-xian Tian, Shu-Yu Cui

For two simple graphs $G_{1}$ and $G_{2}$ , we denote the subdivision-vertex join and subdivision-edge join of $G_{1}$ and $G_{2}$ by $G_{1} \lor ˙ G_{2}$ and $G_{1} ⊻ G_{2}$ , respectively.…

math.CO2014

The spectra and the signless Laplacian spectra of graphs with pockets

Shu-Yu Cui, Gui-Xian Tian

Let $G [F, V_{k}, H_{v}]$ be the graph with $k$ pockets, where $F$ is a simple graph of order $n \geq 1$ , $V_{k} = {v_{1}, \dots, v_{k}}$ is a subset of the vertex set of $F$ and $H_{v}$ is a simple…

math.CO2014★ 2 cited

The Q-generating function for graphs with application

Shu-Yu Cui, Gui-Xian Tian

For a simple connected graph $G$ , the $Q$ -generating function of the numbers $N_{k}$ of semi-edge walks of length $k$ in $G$ is defined by $W_Q(t)=\sum\nolimits_{k = 0}^\infty {N_k t…

math.CO2013

Bounds on the spectral radius of nonnegative matrices and applications in graph spectra

Shu-Yu Cui, Gui-Xian Tian

In this paper, we give upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and characterize the equality cases. These bounds theoretically improve an…