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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2506.15640 |
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| _version_ | 1866911027033014272 |
|---|---|
| author | Borrelli, Dario |
| author_facet | Borrelli, Dario |
| contents | In recent decades, it has been emphasized that the evolving structure of networks may be shaped by interaction principles that yield sparse graphs with a vertex degree distribution exhibiting an algebraic tail, and other structural traits that are not featured in traditional random graphs. In this respect, through a mean-field approach, this review tackles the statistical physics of graph models based on the interaction principle of duplication-divergence. Additional sophistications extending the duplication-divergence model are also reviewed as well as generalizations of other known models. Possible research gaps and related prior results are then discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15640 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Duplication-divergence growing graph models Borrelli, Dario Statistical Mechanics Adaptation and Self-Organizing Systems Physics and Society Molecular Networks In recent decades, it has been emphasized that the evolving structure of networks may be shaped by interaction principles that yield sparse graphs with a vertex degree distribution exhibiting an algebraic tail, and other structural traits that are not featured in traditional random graphs. In this respect, through a mean-field approach, this review tackles the statistical physics of graph models based on the interaction principle of duplication-divergence. Additional sophistications extending the duplication-divergence model are also reviewed as well as generalizations of other known models. Possible research gaps and related prior results are then discussed. |
| title | Duplication-divergence growing graph models |
| topic | Statistical Mechanics Adaptation and Self-Organizing Systems Physics and Society Molecular Networks |
| url | https://arxiv.org/abs/2506.15640 |