Yarong Hu

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20212023

most citedDisproof of a conjecture on the minimum spectral radius and the domination number

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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

Ordering $Q$ -indices of graphs: given size and girth

Yarong Hu, Zhenzhen Lou, Qiongxiang Huang

The signless Laplacian matrix in graph spectra theory is a remarkable matrix of graphs, and it is extensively studied by researchers. In 1981, Cvetković pointed $12$ directions in…

math.CO2022

Graphs with the minimum spectral radius for given independence number

Yarong Hu, Qiongxiang Huang, Zhenzhen Lou

Let $G_{n, α}$ be the set of connected graphs with order $n$ and independence number $α$ . Given $k = n - α$ , the graph with minimum spectral radius among $G_{n, α}$ is…

math.CO2021

Quadratic starlike trees

Yarong Hu, Qiongxiang Huang

In this paper, we introduce the notion of the quadratic graph, that is a graph whose eigenvalues are integral or quadratic algebraic integral, and determine nine infinite families…

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

Ordering Q-indices of graphs: given size and girth

Graphs with the minimum spectral radius for given independence number

Quadratic starlike trees

Ordering $Q$ -indices of graphs: given size and girth