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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Bibliographic Details
Main Authors: Zamri, Siti Norziahidayu Amzee, Sarmin, Nor Haniza, El-Sanfaz, Mustafa Anis, Rahmat, Hamisan
Format: Article
Language:English
Published: Penerbit UTM Press 2017
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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
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Summary: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.