Xiaoqi Liu

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20202026

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math.CO2026

Uniform Hypergraphs with $α$ -Spectral Radius at Most That of a Loose Cycle

Hangxi Cha, Xiaoqi Liu, Haiying Shan

Let $k \geq 3$ and $α \in [0, 1)$ , and let $λ_{k} (α)$ denote the $α$ -spectral radius of a $k$ -uniform loose cycle. Lu and Man classified all connected $k$ -uniform hypergraphs with adjace…

math.CO2024

Exploring Graphs with Distinct $M$ -Eigenvalues: Product Operation, Wronskian Vertices, and Controllability

Haiying Shan, Xiaoqi Liu

Let $G^{M}$ denote the set of connected graphs with distinct $M$ -eigenvalues. This paper explores the $M$ -spectrum and eigenvectors of a new product $G \circ_{C} H$ of graphs…

math.CO2024

The distance spectral radius of $k$ -uniform hypertrees with given number of vertices of maximum degree

Xiaoqi Liu, Haiying Shan

This paper investigates the influence of two graft transformations on the distance spectral radius of connected uniform hypergraphs. Specifically, we study $k$ -uniform hypertrees w…

Uniform Hypergraphs with α-Spectral Radius at Most That of a Loose Cycle

Exploring Graphs with Distinct M-Eigenvalues: Product Operation, Wronskian Vertices, and Controllability

The distance spectral radius of k-uniform hypertrees with given number of vertices of maximum degree

Uniform Hypergraphs with $α$ -Spectral Radius at Most That of a Loose Cycle

Exploring Graphs with Distinct $M$ -Eigenvalues: Product Operation, Wronskian Vertices, and Controllability

The distance spectral radius of $k$ -uniform hypertrees with given number of vertices of maximum degree