Gui‐Xian Tian

activity

20142023

most citedThe Q-generating function for graphs with application

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

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.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…