Shixin Wang

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20222026

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5 papers · 1 filter

math.CO2026

Perfect state transfer on Cayley graphs over dihedral groups: A complete and practical characterization

Shixin Wang

Perfect state transfer on graphs has attracted extensive attention due to its application in quantum information and quantum computation. Explicit characterizations of connection s…

math.CO2024

Embedding arbitrary edge-colorings of hypergraphs into regular colorings

Xiaomiao Wang, Tao Feng, Shixin Wang

For $r = (r_{1}, \dots, r_{k})$ , an $r$ -factorization of the complete $λ$ -fold $h$ -uniform $n$ -vertex hypergraph $λ K_{n}^{h}$ is a partition of the edges of $λ K_{n}^{h}$ into $F…

math.CO2024

On $2$ -integral Cayley graphs

Alireza Abdollahi, Majid Arezoomand, Tao Feng +1

In this paper, we introduce the concept of $k$ -integral graphs. A graph $Γ$ is called $k$ -integral if the extension degree of the splitting field of the characteristic polynomial o…

math.CO2023

Algebraic degrees of quasi-abelian semi-Cayley digraphs

Shixin Wang, Majid Arezoomand, Tao Feng

For a digraph $Γ$ , if $F$ is the smallest field that contains all roots of the characteristic polynomial of the adjacency matrix of $Γ$ , then $F$ is called the splitting field of $…

math.CO2022

Perfect state transfer on bi-Cayley graphs over abelian groups

Shixin Wang, Tao Feng

The study of perfect state transfer on graphs has attracted a great deal of attention during the past ten years because of its applications to quantum information processing and qu…

Perfect state transfer on Cayley graphs over dihedral groups: A complete and practical characterization

Embedding arbitrary edge-colorings of hypergraphs into regular colorings

On 2-integral Cayley graphs

Algebraic degrees of quasi-abelian semi-Cayley digraphs

Perfect state transfer on bi-Cayley graphs over abelian groups

On $2$ -integral Cayley graphs