SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS
In the banking sector, safeguarding sensitive financial transactions is critical to maintaining customer trust and regulatory compliance. Cybersecurity threats, ranging from data breaches to unauthorized access, necessitate robust protective measures. However, the majority of research places a st...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mechanics of Continua and Mathematical Sciences
2025-06-01
|
| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
| Subjects: | |
| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/14194323/jmcms-2502031-Secure-Vertex-Edge-Domination-in-Hypercube-RS.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849423409124999168 |
|---|---|
| author | C. Ruby Sharmila S. Meenakshi |
| author_facet | C. Ruby Sharmila S. Meenakshi |
| author_sort | C. Ruby Sharmila |
| collection | DOAJ |
| description | In the banking sector, safeguarding sensitive financial transactions is critical
to maintaining customer trust and regulatory compliance. Cybersecurity threats,
ranging from data breaches to unauthorized access, necessitate robust protective
measures. However, the majority of research places a strong emphasis on vertex
dominance in security networks while ignoring the importance of edge defense for overall security, also hypercube and grid structures are not considered. Furthermore, conventional studies have ignored the potential of hypercube and grid graph structures in enhancing security measures. Hence this research proposed a secure vertex-edge domination (SVED) in hypercube and grid graphs, exploring their applications in optimizing cybersecurity measures for secure transaction monitoring. Moreover, develop a Hidden Markov Model (HMM) framework to enhance the detection of anomalous activities within these graph structures. This algorithm efficiently computes the minimum number of security agents required to monitor transaction flows, thus reducing vulnerabilities. This research not only fills a critical gap in existing network security methodologies but also proposes a novel framework for protecting complex networks from evolving cyber threats, thereby advancing the frontier of cybersecurity and mathematical graph theory. |
| format | Article |
| id | doaj-art-45b32a2426c74d3f855f829d8aad12a7 |
| institution | Kabale University |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-45b32a2426c74d3f855f829d8aad12a72025-08-20T03:30:36ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-06-01206516410.26782/jmcms.2025.06.00004SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONSC. Ruby Sharmila0S. Meenakshi1Department of Mathematics, Vels Institute of Science Technology and Advanced Studies, Pallavaram, Chennai, Tamil Nadu 600117, India.Department of Mathematics, Vels Institute of Science Technology and Advanced Studies, Pallavaram, Chennai, Tamil Nadu 600117, India.In the banking sector, safeguarding sensitive financial transactions is critical to maintaining customer trust and regulatory compliance. Cybersecurity threats, ranging from data breaches to unauthorized access, necessitate robust protective measures. However, the majority of research places a strong emphasis on vertex dominance in security networks while ignoring the importance of edge defense for overall security, also hypercube and grid structures are not considered. Furthermore, conventional studies have ignored the potential of hypercube and grid graph structures in enhancing security measures. Hence this research proposed a secure vertex-edge domination (SVED) in hypercube and grid graphs, exploring their applications in optimizing cybersecurity measures for secure transaction monitoring. Moreover, develop a Hidden Markov Model (HMM) framework to enhance the detection of anomalous activities within these graph structures. This algorithm efficiently computes the minimum number of security agents required to monitor transaction flows, thus reducing vulnerabilities. This research not only fills a critical gap in existing network security methodologies but also proposes a novel framework for protecting complex networks from evolving cyber threats, thereby advancing the frontier of cybersecurity and mathematical graph theory.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/14194323/jmcms-2502031-Secure-Vertex-Edge-Domination-in-Hypercube-RS.pdfsecure vertex-edge dominationhypercube graphsgrid graphsgraph theorycybersecurity threatssecure transaction |
| spellingShingle | C. Ruby Sharmila S. Meenakshi SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS Journal of Mechanics of Continua and Mathematical Sciences secure vertex-edge domination hypercube graphs grid graphs graph theory cybersecurity threats secure transaction |
| title | SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS |
| title_full | SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS |
| title_fullStr | SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS |
| title_full_unstemmed | SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS |
| title_short | SECURE VERTEX-EDGE DOMINATION IN HYPERCUBE AND GRID GRAPHS: APPLICATIONS OF CYBERSECURITY IN BANKING FOR SECURE TRANSACTIONS |
| title_sort | secure vertex edge domination in hypercube and grid graphs applications of cybersecurity in banking for secure transactions |
| topic | secure vertex-edge domination hypercube graphs grid graphs graph theory cybersecurity threats secure transaction |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/14194323/jmcms-2502031-Secure-Vertex-Edge-Domination-in-Hypercube-RS.pdf |
| work_keys_str_mv | AT crubysharmila securevertexedgedominationinhypercubeandgridgraphsapplicationsofcybersecurityinbankingforsecuretransactions AT smeenakshi securevertexedgedominationinhypercubeandgridgraphsapplicationsofcybersecurityinbankingforsecuretransactions |