| Full text | |
| Author(s): |
Benatti, Alexandre
;
Costa, Luciano da F.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | CHAOS SOLITONS & FRACTALS; v. 183, p. 7-pg., 2024-04-30. |
| Abstract | |
Complex networks have certain properties that distinguish them from their respective uniform or regular counterparts. One of these properties is the variation of topological properties along different hierarchical levels. In this work, we study how networks that are constructed by repeatedly incorporating a given motif exhibit this property. A motif is henceforth understood as a small subgraph with a reference node where the incorporation respectively occurs. We generate fractal networks using different motifs and observe how their structures change along the growth stages. Two regimes are respectively identified: transient and equilibrium. The former is characterized by significant topological changes that depend on the motif topology, while the equilibrium regime shows more stable, parallel trajectories. A more systematic analysis revealed that the betweenness centrality and the average shortest path lengths were the main topological properties accounting for the changes along the network growth. (AU) | |
| FAPESP's process: | 15/22308-2 - Intermediate representations in Computational Science for knowledge discovery |
| Grantee: | Roberto Marcondes Cesar Junior |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/15304-4 - Learning context rich representations for computer vision |
| Grantee: | Nina Sumiko Tomita Hirata |
| Support Opportunities: | Research Projects - Thematic Grants |