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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.00819 |
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| _version_ | 1866915002531708928 |
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| author | Arnau, R. Calabuig, J. M. Raffi, L. M. García Pérez, E. A. Sánchez Sanjuan, S. |
| author_facet | Arnau, R. Calabuig, J. M. Raffi, L. M. García Pérez, E. A. Sánchez Sanjuan, S. |
| contents | Consider a finite directed graph without cycles in which the arrows are weighted. We present an algorithm for the computation of a new distance, called path-length-weighted distance, which has proven useful for graph analysis in the context of fraud detection. The idea is that the new distance explicitly takes into account the size of the paths in the calculations. Thus, although our algorithm is based on arguments similar to those at work for the Bellman-Ford and Dijkstra methods, it is in fact essentially different. We lay out the appropriate framework for its computation, showing the constraints and requirements for its use, along with some illustrative examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00819 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Bellman-Ford algorithm for the path-length-weighted distance in graphs Arnau, R. Calabuig, J. M. Raffi, L. M. García Pérez, E. A. Sánchez Sanjuan, S. Data Structures and Algorithms Discrete Mathematics Mathematical Software 05C38 (Primary) 90C35 (Secondary) Consider a finite directed graph without cycles in which the arrows are weighted. We present an algorithm for the computation of a new distance, called path-length-weighted distance, which has proven useful for graph analysis in the context of fraud detection. The idea is that the new distance explicitly takes into account the size of the paths in the calculations. Thus, although our algorithm is based on arguments similar to those at work for the Bellman-Ford and Dijkstra methods, it is in fact essentially different. We lay out the appropriate framework for its computation, showing the constraints and requirements for its use, along with some illustrative examples. |
| title | A Bellman-Ford algorithm for the path-length-weighted distance in graphs |
| topic | Data Structures and Algorithms Discrete Mathematics Mathematical Software 05C38 (Primary) 90C35 (Secondary) |
| url | https://arxiv.org/abs/2411.00819 |