Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks
In this paper, a new concept of bijective single valued neutrosophic set and bijective single valued neutrosophic graphs are introduced. Also, the height, depth, bijective single valued neutrosophic bridge (BSVN – Bridge), bijective single valued neutrosophic cut vertex (BSVN – cut vertex) in biject...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2025-05-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/51BijectiveSingle.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849224584745713664 |
|---|---|
| author | D.Rajalaxmi R.Shivaragavi Said Broumi |
| author_facet | D.Rajalaxmi R.Shivaragavi Said Broumi |
| author_sort | D.Rajalaxmi |
| collection | DOAJ |
| description | In this paper, a new concept of bijective single valued neutrosophic set and bijective single valued neutrosophic graphs are introduced. Also, the height, depth, bijective single valued neutrosophic bridge (BSVN – Bridge), bijective single valued neutrosophic cut vertex (BSVN – cut vertex) in bijective single valued neutrosophic graphs are defined. Some properties of bijective single valued neutrosophic cycles have been explored. Relation between Connectivity and BSVN-cut vertices, BSVN-Bridges are given. It contains few significant properties like, if = dE , then is not a BSVN-bridge. Also, If = dE , being an edge in a BSVN-cycle graph G of length n , then G has (n −1) BSVN-bridges. An application of BSVN graphs by considering the users as vertices and interaction between the users as edged in an instagram social network is used in fraud detection analysis in social networks by using almost all the properties which were explored related to cycles. |
| format | Article |
| id | doaj-art-c752b5d051c5408fb77a272616b8a2c7 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-c752b5d051c5408fb77a272616b8a2c72025-08-25T08:10:51ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-05-018388389410.5281/zenodo.15207951Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social NetworksD.RajalaxmiR.Shivaragavi Said BroumiIn this paper, a new concept of bijective single valued neutrosophic set and bijective single valued neutrosophic graphs are introduced. Also, the height, depth, bijective single valued neutrosophic bridge (BSVN – Bridge), bijective single valued neutrosophic cut vertex (BSVN – cut vertex) in bijective single valued neutrosophic graphs are defined. Some properties of bijective single valued neutrosophic cycles have been explored. Relation between Connectivity and BSVN-cut vertices, BSVN-Bridges are given. It contains few significant properties like, if = dE , then is not a BSVN-bridge. Also, If = dE , being an edge in a BSVN-cycle graph G of length n , then G has (n −1) BSVN-bridges. An application of BSVN graphs by considering the users as vertices and interaction between the users as edged in an instagram social network is used in fraud detection analysis in social networks by using almost all the properties which were explored related to cycles. https://fs.unm.edu/NSS/51BijectiveSingle.pdfbijective single valued neutrosophic setsbijective single valued neutrosophic graphsbijective single valued neutrosophic bridgesbijective single valued neutrosophic cut vertexheight and depth |
| spellingShingle | D.Rajalaxmi R.Shivaragavi Said Broumi Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks Neutrosophic Sets and Systems bijective single valued neutrosophic sets bijective single valued neutrosophic graphs bijective single valued neutrosophic bridges bijective single valued neutrosophic cut vertex height and depth |
| title | Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks |
| title_full | Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks |
| title_fullStr | Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks |
| title_full_unstemmed | Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks |
| title_short | Bijective Single Valued Neutrosophic Graph and Its Application in Fraud Detection Analysis in Social Networks |
| title_sort | bijective single valued neutrosophic graph and its application in fraud detection analysis in social networks |
| topic | bijective single valued neutrosophic sets bijective single valued neutrosophic graphs bijective single valued neutrosophic bridges bijective single valued neutrosophic cut vertex height and depth |
| url | https://fs.unm.edu/NSS/51BijectiveSingle.pdf |
| work_keys_str_mv | AT drajalaxmi bijectivesinglevaluedneutrosophicgraphanditsapplicationinfrauddetectionanalysisinsocialnetworks AT rshivaragavi bijectivesinglevaluedneutrosophicgraphanditsapplicationinfrauddetectionanalysisinsocialnetworks AT saidbroumi bijectivesinglevaluedneutrosophicgraphanditsapplicationinfrauddetectionanalysisinsocialnetworks |