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Additional Information

Competing Interests

The authors declare that they have no competing interests.

Author Contributions

Javier García-Algarra conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, wrote the paper, prepared figures and/or tables, reviewed drafts of the paper, wrote the R-code.

Juan Manuel Pastor conceived and designed the experiments, performed the experiments, analyzed the data, contributed reagents/materials/analysis tools, wrote the paper, prepared figures and/or tables, reviewed drafts of the paper, wrote the Python code.

José María Iriondo conceived and designed the experiments, wrote the paper, reviewed drafts of the paper, ecological interpretation.

Javier Galeano conceived and designed the experiments, performed the experiments, analyzed the data, wrote the paper, reviewed drafts of the paper.

Data Deposition

The following information was supplied regarding data availability:

The R code for k-core decomposition and plotting has been published as a package at https://www.github.com/jgalgarra/kcorebip.

The rest of software is available at https://github.com/jgalgarra/kcore_robustness

Reproducibility instructions are detailed in the README.md file

Funding

This work was partially supported by the Ministry of Economy and Competitiveness of Spain. The following grant information was disclosed by the authors: MTM2012-39101, MTM2015-63914-P. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.


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