AU - Ziaaddini, M.
AU - Erfanian, A.
TI - Relative non-Normal Graphs of a Subgroup of Finite Groups
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 16
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-1198-en.html
4100 - http://ijmsi.ir/article-1-1198-en.pdf
SO - IJMSI 1
AB - 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.
CP - IRAN
IN - Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, Iran.
LG - eng
PB - IJMSI
PG - 181
PT - Research paper
YR - 2021