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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The Erd\H{o}s-Simonovits stability theorem states that for all \epsilon >0there exists \alpha >0 such that if G is a K_{r+1}-free graph on n verticeswith e(G) > ex(n,K_{r+1}) - \alpha n^2, then one can remove \epsilon n^2 edgesfrom G to obtain an r-partite graph. F\"uredi gave a short proof that one canchoose \alpha=\epsilon. We give a bound for the relationship of \alpha and\varepsilon which is asymptotically sharp as \epsilon \to 0.

Making $K_{r+1}$-Free Graphs $r$-partite