Qiongxiang Huang

activity

20142023

most citedThe graphs with exactly two distance eigenvalues different from

- 1

and

- 3

20 citations · 25 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2023★ 1 cited

Disproof of a conjecture on the minimum spectral radius and the domination number

Yarong Hu, Zhenzhen Lou, Qiongxiang Huang

Let $G_{n, γ}$ be the set of all connected graphs on $n$ vertices with domination number $γ$ . A graph is called a minimizer graph if it attains the minimum spectral radius among $G_…

math.CO2022

A relation on trees and the topological indices based on subgraph

Rui Song, Qiongxiang Huang

A topological index reflects the physical, chemical and structural properties of a molecule, and its study has an important role in molecular topology, chemical graph theory and ma…

math.CO2016

Enumerating Cayley (di-)graphs on dihedral groups

Xueyi Huang, Qiongxiang Huang

Let $p$ be an odd prime, and $D_{2 p} = ⟨ τ, σ ∣ τ^{p} = σ^{2} = e, σ τ σ = τ^{- 1} ⟩$ the dihedral group of order $2 p$ . In this paper, we provide the number of (connected) Cayley (di-)…

math.CO2016

On graphs with three or four distinct normalized Laplacian eigenvalues

Xueyi Huang, Qiongxiang Huang

In this paper, we characterize all connected graphs with exactly three distinct normalized Laplacian eigenvalues of which one is equal to $1$ , determine all connected bipartite gra…

math.CO2016

Automorphism groups of a class of cubic Cayley graphs on symmetric groups

Xueyi Huang, Qiongxiang Huang, Lu Lu

Let $S_{n}$ denote the symmetric group of degree $n$ with $n \geq 3$ . Set $S = {c_{n} = (12 \dots n), c_{n}^{- 1}, (12)}$ . Let $Γ_{n} = Cay (S_{n}, S)$ be the Cayley graph on $S_{n}$ with…

math.CO2016★ 4 cited

The existence of the graphs that have exactly two main eigenvalues

Lin Chen, Qiongxiang Huang

An eigenvalue of a graph $G$ is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. It is well known that a graph $G$ has exactly two m…