Spectral centrality of directed hypergraphs

This repository contains the scripts, data and (pre-processed) figures/tables from the "Beyond directed hypergraphs: heterogeneous hypergraphs and spectral centralities" paper by G. Contreras-Aso, R. Criado, M. Romance, available as a preprint at arXiv:2403.11825.

Structure of the repository

The following files and directories are briefly summarized.

• tensor_functions.py, useful_functions.py: Tensor construction functions and centrality computations (power-like method based on the code from [1], as well as other utilities.
• 0-*.ipynb, 1-*.ipynb, ...: Jupyter notebooks with the data pipeline (Data/ -> ParsedHyperedges/ -> ProcesseHypergraphs/ -> CentralityData/ -> Figures/), from the raw data downloaded/scraped from each data source (cited in the paper), to the construction and analysis of adjacency tensors and their centralities.
• kstepHypergraphs.ipynb: Jupyter notebook with the construction and analysis of k-step centralities of standard networks located at DirectedNets/.

[1] "Uplifting edges in higher order networks: spectral centralities for non-uniform hypergraphs". G. Contreras-Aso, C. Pérez-Corral and M. Romance. arXiv:2310.20335 (2023). GitHub repository.

Bibtex citation:

@article{contreras2024beyond,
  title={Beyond directed hypergraphs: heterogeneous hypergraphs and spectral centralities},
  author={Contreras-Aso, Gonzalo and Criado, Regino and Romance, Miguel},
  journal={arXiv preprint arXiv:2403.11825},
  year={2024}
}