A. Abdollahi

collaborators

3 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.CO2025

Perfect codes and regular sets in vertex-transitive graphs

Alireza Abdollahi, Zeinab Akhlaghi, Majid Arezoomand

A subset $ C $ of the vertex set $ V $ of a graph $ Î= (V,E) $ is termed an $(r, s)$ -regular set if each vertex in $ C $ is adjacent to exactly $ r $ other vertices in \(…

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

Perfect codes and regular sets in vertex-transitive graphs

On 2-integral Cayley graphs

On $2$ -integral Cayley graphs