Graph related to cubed commutativity degree
Let G be a finite group and T3(G) be the set of third power of commuting element in G i.e T3(G) = {x∈G|(xg)3 = (gx)3}. We define a graph, ⌈ with the vertex set G\T3(G) in which two vertices x and y are joined by an edge (connected) if (xy)3 ≠ (yx)3. This graph is called as graph related to cubed c...
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Akademi Sains Malaysia
2020
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my.utm.912012021-06-21T08:41:00Z http://eprints.utm.my/id/eprint/91201/ Graph related to cubed commutativity degree Mohd. Ali, N. M. Abdul Hamid, M. Sarmin, N. H. Erfanian, A. QA Mathematics Let G be a finite group and T3(G) be the set of third power of commuting element in G i.e T3(G) = {x∈G|(xg)3 = (gx)3}. We define a graph, ⌈ with the vertex set G\T3(G) in which two vertices x and y are joined by an edge (connected) if (xy)3 ≠ (yx)3. This graph is called as graph related to cubed commutativity degree. In this research, we study this graph and find a characterization of finite groups in term of this graph. Akademi Sains Malaysia 2020-11 Article PeerReviewed Mohd. Ali, N. M. and Abdul Hamid, M. and Sarmin, N. H. and Erfanian, A. (2020) Graph related to cubed commutativity degree. ASM Science Journal, 13 . pp. 1-5. ISSN 1823-6782 http://dx.doi.org/10.32802/asmscj.2020.sm26(5.16) DOI:10.32802/asmscj.2020.sm26(5.16) |
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QA Mathematics Mohd. Ali, N. M. Abdul Hamid, M. Sarmin, N. H. Erfanian, A. Graph related to cubed commutativity degree |
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Let G be a finite group and T3(G) be the set of third power of commuting element in G i.e T3(G) = {x∈G|(xg)3 = (gx)3}. We define a graph, ⌈ with the vertex set G\T3(G) in which two vertices x and y are joined by an edge (connected) if (xy)3 ≠ (yx)3. This graph is called as graph related to cubed commutativity degree. In this research, we study this graph and find a characterization of finite groups in term of this graph. |
| format |
Article |
| author |
Mohd. Ali, N. M. Abdul Hamid, M. Sarmin, N. H. Erfanian, A. |
| author_facet |
Mohd. Ali, N. M. Abdul Hamid, M. Sarmin, N. H. Erfanian, A. |
| author_sort |
Mohd. Ali, N. M. |
| title |
Graph related to cubed commutativity degree |
| title_short |
Graph related to cubed commutativity degree |
| title_full |
Graph related to cubed commutativity degree |
| title_fullStr |
Graph related to cubed commutativity degree |
| title_full_unstemmed |
Graph related to cubed commutativity degree |
| title_sort |
graph related to cubed commutativity degree |
| publisher |
Akademi Sains Malaysia |
| publishDate |
2020 |
| url |
http://eprints.utm.my/id/eprint/91201/ http://dx.doi.org/10.32802/asmscj.2020.sm26(5.16) |
| _version_ |
1703960435592527872 |
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13.251813 |