Shahin Rahimi

collaborators

3 papers

math.CO2025

Toroidal involutory Cayley graphs

Hamide Keshavarzi, Babak Amini, Afshin Amini +1

Suppose that $R$ is a finite commutative ring with identity. The involutory Cayley graph $\G(R)$ of $R$ is the graph whose vertices are the elements of $R$ , and two distinct vertic…

math.CO2024

Well-covered Unit Graphs of Finite Rings

Shahin Rahimi, Ashkan Nikseresht

Let $R$ be a finite ring with identity. The unit graph (unitary Cayley graph) of $R$ is the graph with vertex set $R$ , where two distinct vertices $x$ and $y$ are adjacent exactly…

math.CO2023

Well-covered Unitary Cayley Graphs of Matrix Rings over Finite Fields and Applications

Shahin Rahimi, Ashkan Nikseresht

Suppose that $F$ is a finite field and $R = M_{n} (F)$ is the ring of $n$ -square matrices over $F$ . Here we characterize when the Cayley graph of the additive group of $R$ with respect…