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 stability of networks is greatly influenced by their degree distributionsand in particular by their broadness. Networks with broader degreedistributions are usually more robust to random failures but less robust tolocalized attacks. To better understand the effect of the broadness of thedegree distribution we study here two models where the broadness is controlledand compare their robustness against localized attacks (LA) and random attacks(RA). We study analytically and by numerical simulations the cases where thedegrees in the networks follow a Bi-Poisson distribution $P(k)=\alphae^{-\lambda_1}\frac{\lambda_1^k}{k!}+(1-\alpha)e^{-\lambda_2}\frac{\lambda_2^k}{k!},\alpha\in[0,1]$, and a Gaussiandistribution $P(k)=A \cdot exp{(-\frac{(k-\mu)^2}{2\sigma^2})}$ with anormalization constant $A$ where $k\geq 0$. In the Bi-Poisson distribution thebroadness is controlled by the values of $\alpha$, $\lambda_1$ and $\lambda_2$,while in the Gaussian distribution it is controlled by the standard deviation,$\sigma$. We find that only for $\alpha=0$ or $\alpha=1$, namely degreesobeying a pure Poisson distribution, LA and RA are the same but for all othercases networks are more vulnerable under LA compared to RA. For Gaussiandistribution, with an average degree $\mu$ fixed, we find that when $\sigma^2$is smaller than $\mu$ the network is more vulnerable against random attack.However, when $\sigma^2$ is larger than $\mu$ the network becomes morevulnerable against localized attack. Similar qualitative results are also shownfor interdependent networks.

The influence of the broadness of the degree distribution on network's robustness: comparing localized attack and random attack