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Ziaaddini M, Erfanian A. Relative non-Normal Graphs of a Subgroup of Finite Groups. IJMSI. 2021; 16 (1) :181-189

URL: http://ijmsi.ir/article-1-1198-en.html

URL: http://ijmsi.ir/article-1-1198-en.html

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.

Type of Study: Research paper |
Subject:
Special

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