| Autor: |
Fronczak, Agata, Fronczak, Piotr, Samsel, Mateusz, Makulski, Kordian, Łepek, Michał, Mrowinski, Maciej J. |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Popis: |
We show that fractality in complex networks arises from the geometric self-similarity of their built-in hierarchical community-like structure, which is mathematically described by the scale-invariant equation for the masses of the boxes with which we cover the network when determining its box dimension. This approach - grounded in both scaling theory of phase transitions and renormalization group theory - leads to the consistent scaling theory of fractal complex networks, which reveals a collection of scaling exponents and different relationships between them. The exponents can be divided into two groups: microscopic (hitherto unknown) and macroscopic, characterizing respectively the local structure of fractal complex networks and their global properties. Interestingly, exponents from both groups are related to each other and only a few of them (three out of seven) are independent, thus bridging the gap between local self-similarity and global scale-invariance of fractal networks. We successfully verify our findings in real networks situated in various fields (information - the World Wide Web, biological - the human brain, and social - scientific collaboration networks) and in several fractal network models. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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