@ARTICLE{Erfanian, author = {Ziaaddini, M. and Erfanian, A. and }, title = {Relative non-Normal Graphs of a Subgroup of Finite Groups}, volume = {16}, number = {1}, abstract ={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. }, URL = {http://ijmsi.ir/article-1-1198-en.html}, eprint = {http://ijmsi.ir/article-1-1198-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {}, year = {2021} }