IJPAM: Volume 102, No. 4 (2015)




Faculty of Science
University of Benghazi
Benghazi, Libya

Faculty of Science
Universiti Teknologi Malaysia
Johor Bahru, MALAYSIA

in Analysis on Algebraic Structures
Ferdowsi University of Mashhad
Mashhad, IRAN
Abstract. Let be a finite non-abelian group and let
be a set of elements of
. Let
be the set of commuting elements in
, i.e
. In this paper, we extend the work on conjugate graph by defining a new graph called the orbit graph, denoted as
. The vertices of
are non central elements in
but not in
in which two vertices of
are adjacent if they are conjugate. Some graph properties are provided. Besides, the orbit graph of dihedral groups and quaternion groups is determined.
Received: March 29, 2015
AMS Subject Classification: 20P05, 20B40, 97K30
Key Words and Phrases: commutativity degree, graph theory, group action, conjugate graph
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DOI: 10.12732/ijpam.v102i4.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 4
Pages: 747 - 755
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This work is licensed under the Creative Commons Attribution International License (CC BY).