Binding number for coprime graph of groups
AbstractLet G be a finite group with identity e. The coprime of G, ΓG is a graph with G as the vertex set and two distinct vertices u and v are adjacent if and only if [Formula: see text] In this paper, we characterize the groups for which the binding number of coprime graph is 1 and investigate its...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-01-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2022.2152762 |
| _version_ | 1797794295038607360 |
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| author | A. Mallika J. Ahamed Thamimul Ansari |
| author_facet | A. Mallika J. Ahamed Thamimul Ansari |
| author_sort | A. Mallika |
| collection | DOAJ |
| description | AbstractLet G be a finite group with identity e. The coprime of G, ΓG is a graph with G as the vertex set and two distinct vertices u and v are adjacent if and only if [Formula: see text] In this paper, we characterize the groups for which the binding number of coprime graph is 1 and investigate its bound range. |
| first_indexed | 2024-03-13T03:00:37Z |
| format | Article |
| id | doaj.art-7af0acbc63ce490ab2bd5be68347cdb6 |
| institution | Directory Open Access Journal |
| issn | 0972-8600 2543-3474 |
| language | English |
| last_indexed | 2024-03-13T03:00:37Z |
| publishDate | 2023-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj.art-7af0acbc63ce490ab2bd5be68347cdb62023-06-27T14:07:21ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742023-01-01201404610.1080/09728600.2022.2152762Binding number for coprime graph of groupsA. Mallika0J. Ahamed Thamimul Ansari1Department of Mathematics, Sadakathullah Appa College (Autonomous), Tirunelveli, Tamil Nadu, IndiaDepartment of Mathematics, Sadakathullah Appa College (Autonomous), Tirunelveli, Tamil Nadu, IndiaAbstractLet G be a finite group with identity e. The coprime of G, ΓG is a graph with G as the vertex set and two distinct vertices u and v are adjacent if and only if [Formula: see text] In this paper, we characterize the groups for which the binding number of coprime graph is 1 and investigate its bound range.https://www.tandfonline.com/doi/10.1080/09728600.2022.2152762Groupabeliannon-abeliancoprime graphbinding number05C25 |
| spellingShingle | A. Mallika J. Ahamed Thamimul Ansari Binding number for coprime graph of groups AKCE International Journal of Graphs and Combinatorics Group abelian non-abelian coprime graph binding number 05C25 |
| title | Binding number for coprime graph of groups |
| title_full | Binding number for coprime graph of groups |
| title_fullStr | Binding number for coprime graph of groups |
| title_full_unstemmed | Binding number for coprime graph of groups |
| title_short | Binding number for coprime graph of groups |
| title_sort | binding number for coprime graph of groups |
| topic | Group abelian non-abelian coprime graph binding number 05C25 |
| url | https://www.tandfonline.com/doi/10.1080/09728600.2022.2152762 |
| work_keys_str_mv | AT amallika bindingnumberforcoprimegraphofgroups AT jahamedthamimulansari bindingnumberforcoprimegraphofgroups |