TY - JOUR
T1 - Relative non-Normal Graphs of a Subgroup of Finite Groups
TT -
JF - IJMSI
JO - IJMSI
VL - 16
IS - 1
UR - http://ijmsi.ir/article-1-1198-en.html
Y1 - 2021
SP - 181
EP - 189
KW - Non-normal graph
KW - Relative Non-normal graph
KW - Normality degree
KW - Outer planar.
N2 - Let G be a ﬁnite group and H,K be two subgroups of G. We introduce the relative non-normal graph of K with respect to H , denoted by NH,K, which is a bipartite graph with vertex sets HHK and KNK(H) and two vertices x ∈ H HK and y ∈ K NK(H) are adjacent if xy / ∈ H, where HK =Tk∈K Hk and NK(H) = {k ∈ K : Hk = H}. We determined some numerical invariants and state that when this graph is planar or outerplanar.
M3
ER -