Title of article :
Relative Non-normal Graphs of a Subgroup of Finite Groups
Author/Authors :
Ziyaaddini, M Department of Pure Mathematics - Ferdowsi University of Mashhad - Mashhad, Iran , Erfanian, A Department of Pure Mathematics and the Center of Excellence in Analysis on Algebraic Structures - Ferdowsi University of Mashhad - Mashhad, Iran
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 We determined some numerical invariants and state that when this graph
is planar or outerplanar.
Farsi abstract :
ما در اين مقاله برخي از پاياهاي عددي اين گراف را به دست مي آوريم و سپس خواص مسطح و مسطح بيروني را براي اين گراف مورد بررسي قرار مي دهيم.
Keywords :
Non-normal graph , Relative non-normal graph , Normality degree , Outer planar
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
