11 citations · 20 across the 16 of their papers we have counts for
15 papers · 1 filter
Construction of graphs being determined by their generalized Q-spectra
Gui-Xian Tian, Jun-Xing Wu, Shu-Yu Cui +1
Given a graph on vertices, its adjacency matrix and degree diagonal matrix are represented by and , respectively. The -spectrum of consists of all the e…
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 is the graph obtained from an unoriented simple graph by giving directions to some edges of , where is often called the underlying graph of …
Quantum State Transfer on Neighborhood Corona of Two Graphs
Xiao-Qin Zhang, Qi Xiong, Gui-Xian Tian +1
Given two graphs of order and , the neighborhood corona of and , denoted by , is the graph obtained by taking one copy of…
The generalized reciprocal distance matrix of graphs
Gui-Xian Tian, Mei-Jiao Cheng, Shu-Yu Cui
Let be a simple undirected connected graph with the Harary matrix , which is also called the reciprocal distance matrix of . The reciprocal distance signless Laplacia…
Quantum state transfer on Q-graphs
Xiao-Qin Zhang, Shu-Yu Cui, Gui-Xian Tian
We study the existence of quantum state transfer in -graphs in this paper. The -graph of a graph , denoted by , is the graph derived fr…
The signless Laplacian state transfer in Q-graph
Xiao-Qin Zhang, Shu-Yu Cui, Gui-Xian Tian
The -graph of a graph , denoted by , is the graph derived from by plugging a new vertex to each edge of and adding a new edge between two ne…
On the arithmetic-geometric index of graphs
Shu-Yu Cui, Weifan Wang, Gui-Xian Tian +1
Very recently, the first geometric-arithmetic index and arithmetic-geometric index were introduced in mathematical chemistry. In the present paper, we first obtain some l…
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 is the spectral radius of the generalized distance matrix of , defined by $$D_α(G)=αTr(G)+(1-α)D(G), \;\;0\leα\…
Some improved bounds on two energy-like invariants of some derived graphs
Gui-Xian Tian, Shu-Yu Cui
Given a simple graph , its Laplacian-energy-like invariant and incidence energy are the sum of square root of its all Laplacian eigenvalues and signless Laplaci…
The normalized Laplacian spectra of the double corona based on -graph
Ping-Kang Yu, Gui-Xian Tian
For simple graphs , and , we denote their double corona based on -graph by . This paper determines the normalized Laplacian spectrum o…
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…
On the normalized Laplacian spectra of some subdivision joins of two graphs
Gui-xian Tian, Shu-Yu Cui
For two simple graphs and , we denote the subdivision-vertex join and subdivision-edge join of and by and , respectively.…
The spectra and the signless Laplacian spectra of graphs with pockets
Shu-Yu Cui, Gui-Xian Tian
Let be the graph with pockets, where is a simple graph of order , is a subset of the vertex set of and is a simple…
The Q-generating function for graphs with application
Shu-Yu Cui, Gui-Xian Tian
For a simple connected graph , the -generating function of the numbers of semi-edge walks of length in is defined by $W_Q(t)=\sum\nolimits_{k = 0}^\infty {N_k t…
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…