Xiaoqi Liu

activity

20202026

collaborators

6 papers

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.QA2026

BiHom-L-R-smash biproduct and BiHom-Yetter-Drinfel'd-Long category

Dongdong Yan, Xiaoqian Liu

In this article, we first introduce the notion of BiHom-L-R- $(s , t , u , v m , n , p , q)$ -smash biproduct over a BiHom-Hopf algebra, denoted by $D ♮ H$ , where $m,n,p,q,s,t,u,v\i…

math.QA2026

BiHom-four-angle Hopf modules and BiHom-Yetter-Drinfel'd modules

Dongdong Yan, Xiaoqian Liu

In this paper, we introduce the notion of four-angle Hopf modules over a BiHom-Hopf algebra $H$ . We show that the category $_{H}^{H} M_{H}^{H}$ of BiHom-four-angle Hopf…

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…

math.RA2020

Four-angle Hopf modules for Hom-Hopf algebras

Xiaoqian Liu, Dongdong Yan, Xuchen Deng +1

In this paper, we introduce the notion of a four-angle Hopf module for a Hom-Hopf algebra $(H, β)$ and show that the category $_{H}^{H} M_{H}^{H}$ of four-angle Hopf mod…

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