TY  - JOUR
T1  - The Disc Structures of Commuting Involution Graphs for Certain Simple Groups
AU - Nawawi, Athirah AU - Kasim, Suzila Mohd AU - Husain, Sharifah Kartini Said AU - Ibrahim, Siti Nur Iqmal 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 13
SP  - 4583
EP  - 4589
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.4583.4589
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.4583.4589
KW  - Commuting graph
KW  -Mathieu group
KW  -symplectic group
KW  -conjugacy class
KW  -involution
KW  -automorphism
AB  - Suppose G is a finite group and X is a subset of G. The commuting graph on the set X, C (G, X) whose
vertex set X with any two vertices connected by an edge, if and only if they commute. In this study, we
consider as the Mathieu groups, symplectic groups, together with their automorphism groups and are
conjugacy classes of involutions. Let t&epsilon;X, here, we investigate the orbits under the action of C<sub>G</sub>(t) from a fixed G
vertex t and describe the group theoretic structure of (t, x) where x is a C<sub>G</sub>(t) orbit representative.
ER  -