Volume 16, Issue 1 (4-2021)
IJMSI 2021, 16(1): 181-189 |
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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
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.
Type of Study: Research paper |
Subject:
Special
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