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- W4298766761 abstract "We introduce a class of random graphs with a community structure, which we call the hierarchical configuration model. On the inter-community level, the graph is a configuration model, and on the intra-community level, every vertex in the configuration model is replaced by a community: i.e., a small graph. These communities may have any shape, as long as they are connected. For these hierarchical graphs, we find the size of the largest component, the degree distribution and the clustering coefficient. Furthermore, we determine the conditions under which a giant percolation cluster exists, and find its size." @default.
- W4298766761 created "2022-10-02" @default.
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- W4298766761 date "2015-12-28" @default.
- W4298766761 modified "2023-09-24" @default.
- W4298766761 title "Hierarchical Configuration Model" @default.
- W4298766761 doi "https://doi.org/10.48550/arxiv.1512.08397" @default.
- W4298766761 hasPublicationYear "2015" @default.
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