ASM Science Journal, Year (2020-4)

Title : ( The Energy of Cayley Graphs for Symmetric Groups of Order 24 )

Authors: Amira Fadina Ahmad Fadzil , Nor Haniza Sarmin , Ahmad Erfanian ,

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Abstract

A Cayley graph of a finite group Gwith respect to a subset Sof Gis a graph where the vertices of the graph are the elements of the group and two distinct vertices xand yare adjacent to each other if xy−1is 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 Sis the subset of S4of 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 iscomputed and presented.

Keywords

energy of graph; cayley graph; symmetric groups
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@article{paperid:1083985,
author = {Amira Fadina Ahmad Fadzil and Nor Haniza Sarmin and Erfanian, Ahmad},
title = {The Energy of Cayley Graphs for Symmetric Groups of Order 24},
journal = {ASM Science Journal},
year = {2020},
month = {April},
issn = {1823-6782},
keywords = {energy of graph; cayley graph; symmetric groups},
}

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%0 Journal Article
%T The Energy of Cayley Graphs for Symmetric Groups of Order 24
%A Amira Fadina Ahmad Fadzil
%A Nor Haniza Sarmin
%A Erfanian, Ahmad
%J ASM Science Journal
%@ 1823-6782
%D 2020

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