Tao Feng

collaborators

4 papers

math.CO2026

Finite groups with quadratic splitting fields for all Cayley graphs

Majid Arezoomand, Alireza Abdollahi, Tao Feng +1

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

math.CO2026

On the completion of $I^µ$ -dense partial Latin squares

Shikang Yu, Tao Feng

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

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.CO2025

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 $I^$ is called $k$ -integral if the extension degree of the splitting field of the characteristic polynomial…

Finite groups with quadratic splitting fields for all Cayley graphs

On the completion of I^µ-dense partial Latin squares

Fractional clique decompositions of dense balanced multipartite graphs

On 2-integral Cayley graphs

On the completion of $I^µ$ -dense partial Latin squares

On $2$ -integral Cayley graphs