Order Sum Graph of a Group
The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, ver...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
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College of Science for Women, University of Baghdad
2023-02-01
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| Series: | Baghdad Science Journal |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480 |
| _version_ | 1811172278425092096 |
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| author | Javeria Amreen Sudev Naduvath |
| author_facet | Javeria Amreen Sudev Naduvath |
| author_sort | Javeria Amreen |
| collection | DOAJ |
| description |
The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained.
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| first_indexed | 2024-04-10T17:28:21Z |
| format | Article |
| id | doaj.art-a3c287d61a944cd1a9781edc07de8ef7 |
| institution | Directory Open Access Journal |
| issn | 2078-8665 2411-7986 |
| language | Arabic |
| last_indexed | 2024-04-10T17:28:21Z |
| publishDate | 2023-02-01 |
| publisher | College of Science for Women, University of Baghdad |
| record_format | Article |
| series | Baghdad Science Journal |
| spelling | doaj.art-a3c287d61a944cd1a9781edc07de8ef72023-02-03T19:35:11ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862023-02-0120110.21123/bsj.2022.6480Order Sum Graph of a Group Javeria Amreen0Sudev Naduvath1Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, India. Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, India. The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480Algebraic graphs, Center, Domination, Graph spectra, Order sum graphs. MSC2010: CXCL10, CXCL16, Date |
| spellingShingle | Javeria Amreen Sudev Naduvath Order Sum Graph of a Group Baghdad Science Journal Algebraic graphs, Center, Domination, Graph spectra, Order sum graphs. MSC2010: CXCL10, CXCL16, Date |
| title | Order Sum Graph of a Group |
| title_full | Order Sum Graph of a Group |
| title_fullStr | Order Sum Graph of a Group |
| title_full_unstemmed | Order Sum Graph of a Group |
| title_short | Order Sum Graph of a Group |
| title_sort | order sum graph of a group |
| topic | Algebraic graphs, Center, Domination, Graph spectra, Order sum graphs. MSC2010: CXCL10, CXCL16, Date |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480 |
| work_keys_str_mv | AT javeriaamreen ordersumgraphofagroup AT sudevnaduvath ordersumgraphofagroup |