Fadzil, A. F. A. and Sarmin, N. H. and Erfanian, A. (2020) The energy of cayley graphs for symmetric groups of order 24. ASM Science Journal, 13 . ISSN 18236782

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Official URL: http://dx.doi.org/10.32802/asmscj.2020.sm26(1.22)
Abstract
A Cayley graph of a finite group G with respect to a subset S of G is a graph where the vertices of the graph are the elements of the group and two distinct vertices x and y are adjacent to each other if xy1 is in the subset S. The subset of the Cayley graph is inverse closed and does not include the identity of the group. For a simple finite graph, the energy of a graph can be determined by summing up the positive values of the eigenvalues of the adjacency matrix of the graph. In this paper, the graph being studied is the Cayley graph of symmetric group of order 24 where S is the subset of S4 of valency up to two. From the Cayley graphs, the eigenvalues are calculated by constructing the adjacency matrix of the graphs and by using some properties of special graphs. Finally, the energy of the respected Cayley graphs is computed and presented.
Item Type:  Article 

Uncontrolled Keywords:  cayley graph, energy of graph, symmetric groups 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  93307 
Deposited By:  Narimah Nawil 
Deposited On:  19 Nov 2021 03:15 
Last Modified:  19 Nov 2021 03:15 
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