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

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

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Official URL: http://dx.doi.org/10.11113/mjfas.v13n3.618

Abstract

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.

Item Type:Article
Uncontrolled Keywords:commuting graph, non-commuting graph, commute
Subjects:Q Science > Q Science (General)
Divisions:Science
ID Code:81276
Deposited By: Narimah Nawil
Deposited On:24 Jul 2019 03:40
Last Modified:24 Jul 2019 04:14

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