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

We explore a new variant of Small-World Networks (SWNs), in which anadditional parameter ($r$) sets the length scale over which shortcuts areuniformly distributed. When $r=0$ we have an ordered network, whereas $r=1$corresponds to the original SWN model. These short-range SWNs have a similardegree distribution and scaling properties as the original SWN model. Weobserve the small-world phenomenon for $r \ll 1$ indicating that globalshortcuts are not necessary for the small-world effect. For short-range SWNs,the average path length changes nonmonotonically with system size, whereas forthe original SWN model it increases monotonically. We propose an expression forthe average path length for short-range SWNs based on numerical simulations andanalytical approximations.

On the structural properties of small-world networks with finite range of shortcut links