Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1400
1
1
gregorian
2021
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16
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online
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fulltext
en
Relative non-Normal Graphs of a Subgroup of Finite Groups
تخصصي
Special
پژوهشي
Research paper
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.
Non-normal graph, Relative Non-normal graph, Normality degree, Outer planar.
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http://ijmsi.ir/browse.php?a_code=A-10-3071-1&slc_lang=en&sid=1
M.
Ziaaddini
ma.ziyaaddini@stu.um.ac.ir
10031947532846008138
10031947532846008138
No
Department of Pure Mathematics, Ferdowsi University of Mashhad
A.
Erfanian
erfanian@um.ac.ir
10031947532846008139
10031947532846008139
Yes
Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad