Percolation of a strongly connected component in simple directed random graphs with a given degree distribution

Publication date

2020-12-11

Authors

Ieperen, Femke van
Kryven, IvanORCID 0000-0002-3964-2196ISNI 0000000419490804

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/dk/atira/pure/researchoutput/researchoutputtypes/workingpaper/preprint
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Abstract

We study site and bond percolation on directed simple random graphs with a given degree distribution and derive the expressions for the critical value of percolation probability above which the giant strongly connected component emerges and the fraction of vertices in this component.

Keywords

random graphs, directed graphs, percolation, connected components

Citation

Ieperen, F V & Kryven, I 2020 'Percolation of a strongly connected component in simple directed random graphs with a given degree distribution' arXiv. < https://arxiv.org/abs/2012.06415 >