The conjugacy classes of some finite metabelian groups and their related graphs
In this paper, the conjugacy classes of three metabelian groups, namely the Quasi-dihedral group, Dihedral group and Quaternion group of order 16 are computed. The obtained results are then applied to graph theory, more precisely to conjugate graph and conjugacy class graph. Some graph properties su...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Penerbit UTM Press
2017
|
| Subjects: |
| _version_ | 1796862562190491648 |
|---|---|
| author | Sarmin, N. H. Ibrahim, A. A. Noor, A. H. M. Omer, S. M. S. |
| author_facet | Sarmin, N. H. Ibrahim, A. A. Noor, A. H. M. Omer, S. M. S. |
| author_sort | Sarmin, N. H. |
| collection | ePrints |
| description | In this paper, the conjugacy classes of three metabelian groups, namely the Quasi-dihedral group, Dihedral group and Quaternion group of order 16 are computed. The obtained results are then applied to graph theory, more precisely to conjugate graph and conjugacy class graph. Some graph properties such as chromatic number, clique number, dominating number and independent number are found. |
| first_indexed | 2024-03-05T20:13:29Z |
| format | Article |
| id | utm.eprints-76730 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:13:29Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-767302018-04-30T13:56:01Z http://eprints.utm.my/76730/ The conjugacy classes of some finite metabelian groups and their related graphs Sarmin, N. H. Ibrahim, A. A. Noor, A. H. M. Omer, S. M. S. QA Mathematics In this paper, the conjugacy classes of three metabelian groups, namely the Quasi-dihedral group, Dihedral group and Quaternion group of order 16 are computed. The obtained results are then applied to graph theory, more precisely to conjugate graph and conjugacy class graph. Some graph properties such as chromatic number, clique number, dominating number and independent number are found. Penerbit UTM Press 2017 Article PeerReviewed Sarmin, N. H. and Ibrahim, A. A. and Noor, A. H. M. and Omer, S. M. S. (2017) The conjugacy classes of some finite metabelian groups and their related graphs. Jurnal Teknologi, 79 (1). pp. 69-73. ISSN 0127-9696 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008192145&doi=10.11113%2fjt.v79.7608&partnerID=40&md5=f31ca32748bc2e1ff46c01f2e0266d5c DOI:10.11113/jt.v79.7608 |
| spellingShingle | QA Mathematics Sarmin, N. H. Ibrahim, A. A. Noor, A. H. M. Omer, S. M. S. The conjugacy classes of some finite metabelian groups and their related graphs |
| title | The conjugacy classes of some finite metabelian groups and their related graphs |
| title_full | The conjugacy classes of some finite metabelian groups and their related graphs |
| title_fullStr | The conjugacy classes of some finite metabelian groups and their related graphs |
| title_full_unstemmed | The conjugacy classes of some finite metabelian groups and their related graphs |
| title_short | The conjugacy classes of some finite metabelian groups and their related graphs |
| title_sort | conjugacy classes of some finite metabelian groups and their related graphs |
| topic | QA Mathematics |
| work_keys_str_mv | AT sarminnh theconjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT ibrahimaa theconjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT noorahm theconjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT omersms theconjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT sarminnh conjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT ibrahimaa conjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT noorahm conjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs AT omersms conjugacyclassesofsomefinitemetabeliangroupsandtheirrelatedgraphs |