Tao Feng

collaborators

6 papers

math.GR2026

Complete mappings stabilizing Sylow $2$ -subgroups in central quotients of special linear groups

Shixin Wang, Shikang Yu, Tao Feng

A complete mapping of a finite group $G$ is a permutation $θ$ of $G$ such that $x \mapsto x θ (x)$ is also a permutation of $G$ . Complete mappings have applications in cryptography, p…

math.CO2026

Even cycle decomposition thresholds for dense multipartite graphs

Weiyi Sun, Tao Feng, Shikang Yu

Let $r \geq 2$ be an integer. An $r$ -partite graph $Γ$ with vertex partition $V_{1}, \dots, V_{r}$ is $2$ -balanced if there exists a positive integer $n$ such that $n \leq ∣ V_{i} ∣ \leq 2 n$ f…

math.CO2026

Finite groups with quadratic splitting fields for all Cayley graphs

Majid Arezoomand, Alireza Abdollahi, Tao Feng +1

For a graph $Γ$ , the splitting field of $Γ$ is defined as the splitting field of the characteristic polynomial of $Γ$ over rationals. The algebraic degree of $Γ$ is defined by the…

math.CO2026

On the completion of $ε$ -dense partial Latin squares

Shikang Yu, Tao Feng

A partial Latin square of order $n$ is called $ε$ -dense if each row and each column contains at most $ε n$ filled cells, and each symbol occurs at most $ε n$ times. A partial Latin s…

math.CO2026

Fractional clique decompositions of dense balanced multipartite graphs

Tao Feng, Hengrui Liu, Shikang Yu

This paper concerns fractional $K_{s}$ -decompositions of multipartite graphs. For integers $r \geq s \geq 3$ , we consider balanced $r$ -partite graphs $G$ on $r n$ vertices. We establish n…

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…

Complete mappings stabilizing Sylow 2-subgroups in central quotients of special linear groups

Even cycle decomposition thresholds for dense multipartite graphs

Finite groups with quadratic splitting fields for all Cayley graphs

On the completion of ε-dense partial Latin squares

Fractional clique decompositions of dense balanced multipartite graphs

On 2-integral Cayley graphs

Complete mappings stabilizing Sylow $2$ -subgroups in central quotients of special linear groups

On the completion of $ε$ -dense partial Latin squares

On $2$ -integral Cayley graphs