Athirah  Nawawi, Suzila Mohd  Kasim, Sharifah Kartini Said  Husain, Siti Nur Iqmal  Ibrahim, 
    The Disc Structures of Commuting Involution Graphs for Certain Simple Groups,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 13,
    2019,
    Pages 4583-4589,
    ISSN 1816-949x,
    jeasci.2019.4583.4589,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.4583.4589)
    Abstract: 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.
    Keywords: Commuting graph;Mathieu group;symplectic group;conjugacy class;involution;automorphism