Journals Information
Mathematics and Statistics Vol. 11(1), pp. 179 - 182
DOI: 10.13189/ms.2023.110120
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Construction of the
Graph of Mathieu Group 
Suzila Mohd Kasim 1,*, Shaharuddin Cik Soh 2, Siti Nor Aini Mohd Aslam 1
1 Centre of Foundation Studies, Universiti Teknologi MARA, Cawangan Selangor, Kampus Dengkil 43800 Dengkil, Selangor, Malaysia
2 College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
ABSTRACT
Suppose that is a group and
is a subset of
. Then, the
graph of a group
, denoted by
, is the simple undirected graph in which two distinct vertices
are connected to each other by an edge if and only if both vertices satisfy
. The main contribution of this paper is to construct the
graph using the elements of Mathieu group,
. Additionally, the connectivity of
has been proven as a connected graph. Finally, an open problem is highlighted in addressing future research.
KEYWORDS
Graph, Finite Simple Group, Simple Graph, Mathieu Group, Conjugacy Class, Connectivity, Diameter
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Suzila Mohd Kasim , Shaharuddin Cik Soh , Siti Nor Aini Mohd Aslam , "Construction of the Graph of Mathieu Group
," Mathematics and Statistics, Vol. 11, No. 1, pp. 179 - 182, 2023. DOI: 10.13189/ms.2023.110120.
(b). APA Format:
Suzila Mohd Kasim , Shaharuddin Cik Soh , Siti Nor Aini Mohd Aslam (2023). Construction of the Graph of Mathieu Group
. Mathematics and Statistics, 11(1), 179 - 182. DOI: 10.13189/ms.2023.110120.