On graphs associated to conjugacy classes of some three-generator groups

A graph consists of points which are called vertices, and connections which are called edges, which are indicated by line segments or curves joining certain pairs of vertices. In this paper, four types of graphs which are the commuting graph, non-commuting graph conjugate graph and the conjugacy cla...

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Main Authors: Sarmin, N. H., Noor, A. H. M., Omer, S. M. S.
Format: Article
Published: Penerbit UTM Press 2017
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Online Access:http://eprints.utm.my/id/eprint/76744/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008155975&doi=10.11113%2fjt.v79.8448&partnerID=40&md5=49d7558c0bb152c017b35ddcee0dd247
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spelling my.utm.767442018-04-30T14:02:52Z http://eprints.utm.my/id/eprint/76744/ On graphs associated to conjugacy classes of some three-generator groups Sarmin, N. H. Noor, A. H. M. Omer, S. M. S. QA Mathematics A graph consists of points which are called vertices, and connections which are called edges, which are indicated by line segments or curves joining certain pairs of vertices. In this paper, four types of graphs which are the commuting graph, non-commuting graph conjugate graph and the conjugacy class graph for some three-generator groups are discussed. Some of the graph properties are also found which include the independent number, chromatic number, clique number and dominating number. Penerbit UTM Press 2017 Article PeerReviewed Sarmin, N. H. and Noor, A. H. M. and Omer, S. M. S. (2017) On graphs associated to conjugacy classes of some three-generator groups. Jurnal Teknologi, 79 (1). pp. 55-61. ISSN 0127-9696 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008155975&doi=10.11113%2fjt.v79.8448&partnerID=40&md5=49d7558c0bb152c017b35ddcee0dd247 DOI:10.11113/jt.v79.8448
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/
topic QA Mathematics
spellingShingle QA Mathematics
Sarmin, N. H.
Noor, A. H. M.
Omer, S. M. S.
On graphs associated to conjugacy classes of some three-generator groups
description A graph consists of points which are called vertices, and connections which are called edges, which are indicated by line segments or curves joining certain pairs of vertices. In this paper, four types of graphs which are the commuting graph, non-commuting graph conjugate graph and the conjugacy class graph for some three-generator groups are discussed. Some of the graph properties are also found which include the independent number, chromatic number, clique number and dominating number.
format Article
author Sarmin, N. H.
Noor, A. H. M.
Omer, S. M. S.
author_facet Sarmin, N. H.
Noor, A. H. M.
Omer, S. M. S.
author_sort Sarmin, N. H.
title On graphs associated to conjugacy classes of some three-generator groups
title_short On graphs associated to conjugacy classes of some three-generator groups
title_full On graphs associated to conjugacy classes of some three-generator groups
title_fullStr On graphs associated to conjugacy classes of some three-generator groups
title_full_unstemmed On graphs associated to conjugacy classes of some three-generator groups
title_sort on graphs associated to conjugacy classes of some three-generator groups
publisher Penerbit UTM Press
publishDate 2017
url http://eprints.utm.my/id/eprint/76744/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008155975&doi=10.11113%2fjt.v79.8448&partnerID=40&md5=49d7558c0bb152c017b35ddcee0dd247
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