Non-homogeneous fractal hierarchical weighted networks.
A model of fractal hierarchical structures that share the property of non-homogeneous weighted networks is introduced. These networks can be completely and analytically characterized in terms of the involved parameters, i.e., the size of the original graph Nk and the non-homogeneous weight scaling f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2015-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4388559?pdf=render |
| _version_ | 1818285778808078336 |
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| author | Yujuan Dong Meifeng Dai Dandan Ye |
| author_facet | Yujuan Dong Meifeng Dai Dandan Ye |
| author_sort | Yujuan Dong |
| collection | DOAJ |
| description | A model of fractal hierarchical structures that share the property of non-homogeneous weighted networks is introduced. These networks can be completely and analytically characterized in terms of the involved parameters, i.e., the size of the original graph Nk and the non-homogeneous weight scaling factors r1, r2, · · · rM. We also study the average weighted shortest path (AWSP), the average degree and the average node strength, taking place on the non-homogeneous hierarchical weighted networks. Moreover the AWSP is scrupulously calculated. We show that the AWSP depends on the number of copies and the sum of all non-homogeneous weight scaling factors in the infinite network order limit. |
| first_indexed | 2024-12-13T01:14:07Z |
| format | Article |
| id | doaj.art-88918ad3058847f382f265fa44ed5370 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-13T01:14:07Z |
| publishDate | 2015-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-88918ad3058847f382f265fa44ed53702022-12-22T00:04:24ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01104e012194610.1371/journal.pone.0121946Non-homogeneous fractal hierarchical weighted networks.Yujuan DongMeifeng DaiDandan YeA model of fractal hierarchical structures that share the property of non-homogeneous weighted networks is introduced. These networks can be completely and analytically characterized in terms of the involved parameters, i.e., the size of the original graph Nk and the non-homogeneous weight scaling factors r1, r2, · · · rM. We also study the average weighted shortest path (AWSP), the average degree and the average node strength, taking place on the non-homogeneous hierarchical weighted networks. Moreover the AWSP is scrupulously calculated. We show that the AWSP depends on the number of copies and the sum of all non-homogeneous weight scaling factors in the infinite network order limit.http://europepmc.org/articles/PMC4388559?pdf=render |
| spellingShingle | Yujuan Dong Meifeng Dai Dandan Ye Non-homogeneous fractal hierarchical weighted networks. PLoS ONE |
| title | Non-homogeneous fractal hierarchical weighted networks. |
| title_full | Non-homogeneous fractal hierarchical weighted networks. |
| title_fullStr | Non-homogeneous fractal hierarchical weighted networks. |
| title_full_unstemmed | Non-homogeneous fractal hierarchical weighted networks. |
| title_short | Non-homogeneous fractal hierarchical weighted networks. |
| title_sort | non homogeneous fractal hierarchical weighted networks |
| url | http://europepmc.org/articles/PMC4388559?pdf=render |
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