Fixed points of Personalized PageRank centrality: From irreducible to reducible networks
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915408530898944 |
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| author | Aleja, David Flores, Julio Primo, Eva Rodríguez, Daniel Romance, Miguel |
| author_facet | Aleja, David Flores, Julio Primo, Eva Rodríguez, Daniel Romance, Miguel |
| contents | In this paper we analyze the PageRank of a complex network as a function of its personalization vector. By using this approach, a complete characterization of the existence and uniqueness of fixed points of PageRank of a graph is given in terms of the number and nature of its strongly connected components. The method presented includes the use of a feedback-PageRank in order to compute exactly the fixed points following the classic Power's Method in terms of the (left-hand) Perron vector of each strongly connected components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18652 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed points of Personalized PageRank centrality: From irreducible to reducible networks Aleja, David Flores, Julio Primo, Eva Rodríguez, Daniel Romance, Miguel Social and Information Networks 15A60, 47J26 In this paper we analyze the PageRank of a complex network as a function of its personalization vector. By using this approach, a complete characterization of the existence and uniqueness of fixed points of PageRank of a graph is given in terms of the number and nature of its strongly connected components. The method presented includes the use of a feedback-PageRank in order to compute exactly the fixed points following the classic Power's Method in terms of the (left-hand) Perron vector of each strongly connected components. |
| title | Fixed points of Personalized PageRank centrality: From irreducible to reducible networks |
| topic | Social and Information Networks 15A60, 47J26 |
| url | https://arxiv.org/abs/2507.18652 |