Yong Lu

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4 papers · 1 filter

math.CO2025

The row left rank of quaternion unit gain graphs in terms of pendant vertices

Yong Lu, Qi Shen

Let $G = (G, U (Q), φ)$ be a quaternion unit gain graph (or $U (Q)$ -gain graph), where $G$ is the underlying graph of $G$ , $U(\mathbb{Q})=\{q\in…

math.CO2025

The row left rank of a quaternion unit gain graph in terms of maximum degree

Yong Lu, Qi Shen

Let $Φ = (G, U (Q), φ)$ be a quaternion unit gain graph (or $U (Q)$ -gain graph) of order $n$ , $A (Φ)$ be the adjacency matrix of $Φ$ and $r (Φ)$ be the row left rank of $…

math.CO2024

The left row rank of quaternion unit gain graphs in terms of girth

Yong Lu, Qi Shen, JiaXu Zhong

Let $Φ = (G, U (Q), φ)$ be a quaternion unit gain graph (or $U (Q)$ -gain graph). The adjacency matrix of $Φ$ is denoted by $A (Φ)$ and the left row rank of $Φ$ is denote…

math.CO2024

Spectral Properties of Dual Unit Gain Graphs

Chunfeng Cui, Yong Lu, Liqun Qi +1

In this paper, we study dual quaternion and dual complex unit gain graphs and their spectral properties in a unified frame of dual unit gain graphs. Unit dual quaternions represent…