8 citations · 10 across the 5 of their papers we have counts for
5 papers
Finite groups with quadratic splitting fields for all Cayley graphs
Majid Arezoomand, Alireza Abdollahi, Tao Feng +1
For a graph , the splitting field of is defined as the splitting field of the characteristic polynomial of over rationals. The algebraic degree of is defined by the…
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 \( Γ= (V,E) \) is termed an -regular set if each vertex in \( C \) is adjacent to exactly \( r \) other vertices in \(…
On -integral Cayley graphs
Alireza Abdollahi, Majid Arezoomand, Tao Feng +1
In this paper, we introduce the concept of -integral graphs. A graph is called -integral if the extension degree of the splitting field of the characteristic polynomial o…
On the clique number of non-commuting graphs of certain groups
A. Abdollahi, A. Azad, A. Mohammadi Hassanabadi +1
Let be a non-abelian group. The non-commuting graph of is defined as the graph whose vertex set is the non-central elements of and two vertices are join…
Minimal blocking sets in PG(n,2) and covering groups by subgroups
Alireza Abdollahi, M. J. Ataei, A. Mohammadi Hassanabadi
In this paper we prove that a set of points of PG(n,2) is a minimal blocking set if and only if with odd and is a set of points of no $d+1…