On the generalized commuting and non-commuting graphs for metacyclic 3-groups

On the generalized commuting and non-commuting graphs for metacyclic 3-groups

Let be a metacyclic 3-group and let be a non-empty subset of such that . The generalized commuting and non-commuting graphs of a group is denoted by and respectively. The vertex set of the generalized commuting and non-commuting graphs are the non-central elements in the set such that...

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Main Authors: Zamri, Siti Norziahidayu Amzee, Sarmin, Nor Haniza, El-Sanfaz, Mustafa Anis, Rahmat, Hamisan
Format: Article
Language:English
Published: Penerbit UTM Press 2017
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/81276/1/SitiNorziahidayuZamri2017_OntheGeneralizedCommutingandNonCommuting.pdf
http://eprints.utm.my/id/eprint/81276/
http://dx.doi.org/10.11113/mjfas.v13n3.618
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Institution: Universiti Teknologi Malaysia
Language: English
id my.utm.81276
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spelling my.utm.812762019-07-24T04:14:41Z http://eprints.utm.my/id/eprint/81276/ On the generalized commuting and non-commuting graphs for metacyclic 3-groups Zamri, Siti Norziahidayu Amzee Sarmin, Nor Haniza El-Sanfaz, Mustafa Anis Rahmat, Hamisan Q Science (General) Let be a metacyclic 3-group and let be a non-empty subset of such that . The generalized commuting and non-commuting graphs of a group is denoted by and respectively. The vertex set of the generalized commuting and non-commuting graphs are the non-central elements in the set such that where Two vertices in are joined by an edge if they commute, meanwhile, the vertices in are joined by an edge if they do not commute. Penerbit UTM Press 2017 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/81276/1/SitiNorziahidayuZamri2017_OntheGeneralizedCommutingandNonCommuting.pdf Zamri, Siti Norziahidayu Amzee and Sarmin, Nor Haniza and El-Sanfaz, Mustafa Anis and Rahmat, Hamisan (2017) On the generalized commuting and non-commuting graphs for metacyclic 3-groups. Malaysian Journal of Fundamental and Applied Sciences, 13 (3). pp. 182-186. ISSN 2289-5981 http://dx.doi.org/10.11113/mjfas.v13n3.618 DOI:10.11113/mjfas.v13n3.618
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Zamri, Siti Norziahidayu Amzee
Sarmin, Nor Haniza
El-Sanfaz, Mustafa Anis
Rahmat, Hamisan
On the generalized commuting and non-commuting graphs for metacyclic 3-groups
description Let be a metacyclic 3-group and let be a non-empty subset of such that . The generalized commuting and non-commuting graphs of a group is denoted by and respectively. The vertex set of the generalized commuting and non-commuting graphs are the non-central elements in the set such that where Two vertices in are joined by an edge if they commute, meanwhile, the vertices in are joined by an edge if they do not commute.
format Article
author Zamri, Siti Norziahidayu Amzee
Sarmin, Nor Haniza
El-Sanfaz, Mustafa Anis
Rahmat, Hamisan
author_facet Zamri, Siti Norziahidayu Amzee
Sarmin, Nor Haniza
El-Sanfaz, Mustafa Anis
Rahmat, Hamisan
author_sort Zamri, Siti Norziahidayu Amzee
title On the generalized commuting and non-commuting graphs for metacyclic 3-groups
title_short On the generalized commuting and non-commuting graphs for metacyclic 3-groups
title_full On the generalized commuting and non-commuting graphs for metacyclic 3-groups
title_fullStr On the generalized commuting and non-commuting graphs for metacyclic 3-groups
title_full_unstemmed On the generalized commuting and non-commuting graphs for metacyclic 3-groups
title_sort on the generalized commuting and non-commuting graphs for metacyclic 3-groups
publisher Penerbit UTM Press
publishDate 2017
url http://eprints.utm.my/id/eprint/81276/1/SitiNorziahidayuZamri2017_OntheGeneralizedCommutingandNonCommuting.pdf
http://eprints.utm.my/id/eprint/81276/
http://dx.doi.org/10.11113/mjfas.v13n3.618
_version_ 1643658663063191552

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