%0 Journal Article
%A Ziaaddini, M.
%A Erfanian, A.
%T Relative non-Normal Graphs of a Subgroup of Finite Groups
%J Iranian Journal of Mathematical Sciences and Informatics
%V 16
%N 1
%U http://ijmsi.ir/article-1-1198-en.html
%R
%D 2021
%K Non-normal graph, Relative Non-normal graph, Normality degree, Outer planar.,
%X 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.
%> http://ijmsi.ir/article-1-1198-en.pdf
%P 181-189
%& 181
%!
%9 Research paper
%L A-10-3071-1
%+ Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad
%G eng
%@ 1735-4463
%[ 2021