This is the python repository for the works:

• Daniel Hernández Serrano, Juan Hernández-Serrano, Darío Sánchez Gómez, "Simplicial degree in complex networks. Applications of topological data analysis to network science", Chaos, Solitons & Fractals, Volume 137, 2020
• Daniel Hernández Serrano, Javier Villarroel, Juan Hernández-Serrano, Ángel Tocino, "Stochastic simplicial contagion model", Chaos, Solitons & Fractals, Volume 167, 2023
• Angel Tocino, Daniel Hernández Serrano, Juan Hernández-Serrano, Javier Villarroel, "A stochastic simplicial SIS model for complex networks", Communications in Nonlinear Science and Numerical Simulation, Volume 120, 2023

Copy config.ini.template, edit directory names, and optionally fill your PostgreSQL database details (required for parsing Scholp and ArXiv datasets).

Install all requirements in requirements.txt

• arxiv: scripts for harvesting ArXiv datasets and loading simplicial complexes computed from them into the database
• scholp: scripts for loading simplicial complexes computed from downloaded Scholp datasets into the database.

• facets.py: script for computing facets. Run python facets.py -h for help.
• faces_degrees: compute q-faces and degrees. It MUST be run after facets.py. Run python faces_degrees.py -h for help.
• export_faces_to_csv: exports computed faces from the database to a CSV file. Run python export_faces_to_csv.py -h for help.
• stats.py: generate datasets and degrees statistics and exports them to a CSV file. Run python stats.py -h for help.
• figires.py: generates figures regarding datasets and degrees' statistics. It MUST be run after stats.py.

• HVHT22_contagion_experiments_by_region.json: Defines experiment parameters for the contagion model simulations
• HVHT22_simplagion_experiment_parameters.ipynb: Outputs configuration setup (MUST be copied in contagion_experiments.py) for the contagion model based on the experiments defined in HVHT22_contagion_experiments_by_region.json
• contagion_model.py: Runs the stochastic simplicial contagion model on the datasets defined and using the parameters (experiments) defined in contagion_experiments.py. Run python contagion_model.py -h for help.