# Geometric origins of self-similarity in the evolution of real networks

@article{Zheng2019GeometricOO, title={Geometric origins of self-similarity in the evolution of real networks}, author={Muhua Zheng and Guillermo Garc'ia-P'erez and Mari'an Bogun'a and M. {\'A}ngeles Serrano}, journal={arXiv: Physics and Society}, year={2019} }

One of the aspirations of network science is to explain the growth of real networks, often through the sequential addition of new nodes that connect to older ones in the graph. However, many real systems evolve through the branching of fundamental units, whether those be scientific fields, countries, or species. Here, we provide empirical evidence for self-similar branching growth in the evolution of real networks and present the Geometric Branching Growth model, which is designed to predict…

## 2 Citations

### Network geometry

- Computer ScienceArXiv
- 2020

Progress in network geometry, its theory, and applications to biological, sociotechnical and other real-world networks is summarized and perspectives on future research directions and challenges in this frontier in the study of complexity are offered.

### Geometric renormalization unravels self-similarity of the multiscale human connectome

- BiologyProceedings of the National Academy of Sciences
- 2020

The spatial multiscale organization of the human brain is explored by using two high-quality datasets with connectomes at five anatomical resolutions for 84 healthy subjects and it is found that the zoomed-out layers remain self-similar and that a geometric network model, where distances are not Euclidean, predicts the observations by application of a renormalization protocol.

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