12 citations · 14 across the 6 of their papers we have counts for
4 papers · 1 filter
Power graphs of all nilpotent groups
Sayyed Heidar Jafari, Samir Zahirović
The directed power graph of a group is the simple digraph with vertex set such that if is a power of . The pow…
A description of automorphism group of power graphs of finite groups
Sayyed Heidar Jafari
The power graph of a group is the graph whose vertex set is the set of nontrivial elements of group, two elements being adjacent if one is a power of the other. We introduce some w…
The energy and spectrum of non commuting graph
Sayyed Heidar Jafari, Maryam Nasiri
Let G be a non-abelian group and Z(G) be the center of G. The non-commuting graph Γ(G) of G is a graph with vertex set is non central elements of G and two vertices x, y are adjace…
The diameter of proper power graphs of alternating groups
Kobra Porghobadi, Sayyed Heidar Jafari
The power graph of finite group G is a simple graph whose vertex set is G and two distinct elements a and b are adjacent if and only if one of them is a power of the other. The pro…