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Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity

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(...

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Main Authors: Nawawi @ Mohamed Nawawi, Athirah, Said Husain, Sharifah Kartini, Kamel Ariffin, Muhammad Rezal
Format: Article
Language:English
Published: MDPI 2019
Online Access:http://psasir.upm.edu.my/id/eprint/38254/1/38254.pdf
http://psasir.upm.edu.my/id/eprint/38254/
https://www.mdpi.com/2073-8994/11/9/1178
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spelling my.upm.eprints.382542020-05-04T16:08:06Z http://psasir.upm.edu.my/id/eprint/38254/ Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity Nawawi @ Mohamed Nawawi, Athirah Said Husain, Sharifah Kartini Kamel Ariffin, Muhammad Rezal 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. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38254/1/38254.pdf 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 https://www.mdpi.com/2073-8994/11/9/1178 10.3390/sym11091178
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Nawawi @ Mohamed Nawawi, Athirah
Said Husain, Sharifah Kartini
Kamel Ariffin, Muhammad Rezal
spellingShingle Nawawi @ Mohamed Nawawi, Athirah
Said Husain, Sharifah Kartini
Kamel Ariffin, Muhammad Rezal
Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity
author_facet Nawawi @ Mohamed Nawawi, Athirah
Said Husain, Sharifah Kartini
Kamel Ariffin, Muhammad Rezal
author_sort Nawawi @ Mohamed Nawawi, Athirah
title Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity
title_short Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity
title_full Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity
title_fullStr Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity
title_full_unstemmed Commuting graphs, C(G, X) in symmetric groups Sym(n) and its connectivity
title_sort commuting graphs, c(g, x) in symmetric groups sym(n) and its connectivity
publisher MDPI
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/38254/1/38254.pdf
http://psasir.upm.edu.my/id/eprint/38254/
https://www.mdpi.com/2073-8994/11/9/1178
_version_ 1665895968562741248
score 13.160551

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