Citation
Nawawi @ Mohamed Nawawi, Athirah and Said Husain, Sharifah Kartini and Kamel Ariffin, Muhammad Rezal
(2019)
Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity.
Symmetry, 11 (9).
art. no. 1178.
pp. 1-8.
ISSN 2073-8994
Abstract
A commuting graph is a graph denoted by C(G,X) where G is any group and X, a subset of a group G, is a set of vertices for C(G,X) . Two distinct vertices, x,y∈X , will be connected by an edge if the commutativity property is satisfied or xy=yx . This study presents results for the connectivity of C(G,X) when G is a symmetric group of degree n, Sym (n) , and X is a conjugacy class of elements of order three in G.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/sym11091178 |
| Publisher: | MDPI |
| Keywords: | Commuting graph; Symmetric group; Order 3 elements |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 May 2020 16:08 |
| Last Modified: | 04 May 2020 16:08 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11091178 |
| URI: | http://psasir.upm.edu.my/id/eprint/38254 |
| Statistic Details: | View Download Statistic |
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