English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A statistical network model with overlapping communities can be generated asa superposition of mutually independent random graphs of varying size. Themodel is parameterized by a number of nodes, number of communities,distribution of community sizes, and the edge probability inside thecommunities. This model admits sparse parameter regimes with power-law limitingdegree distributions, and nonvanishing clustering coefficient. This articlepresents large-scale approximations of clique and cycle frequencies for graphsamples generated by this model, which are valid for regimes with bounded andunbounded number of overlapping communities. Our results reveal the growthrates of these subgraph frequencies and show that their theoretical densitiescan be reliably estimated from data.

Clique and cycle frequencies in a sparse random graph model with overlapping communities