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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The independence density of a finite hypergraph is the probability that asubset of vertices, chosen uniformly at random contains no hyperedges.Independence densities can be generalized to countable hypergraphs usinglimits. We show that, in fact, every positive independence density of acountably infinite hypergraph with hyperedges of bounded size is equal to theindependence density of some finite hypergraph whose hyperedges are no largerthan those in the infinite hypergraph. This answers a question of Bonato,Brown, Kemkes, and Pra{\l}at about independence densities of graphs.Furthermore, we show that for any $k$, the set of independence densities ofhypergraphs with hyperedges of size at most $k$ is closed and contains noinfinite increasing sequences.

Positive independence densities of finite rank countable hypergraphs are achieved by finite hypergraphs