Naslov
Reciprocity of Networks with Degree Correlations and Arbitrary Degree Sequence

Autori
Zamora-Lopez, Gorka ; Zlatić, Vinko ; Zhou, Changsong ; Štefančić, Hrvoje ; Kurths, Jürgen

Izvornik
Physical review. E, Statistical, nonlinear, and soft matter physics (1539-3755) 77 (2008), 1; 016106, 8

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
networks ; correlation ; reciprocity

Sažetak
Although most of the real networks contain a mixture of directed and bidirectional (reciprocal) connections, the reciprocity $r$ has received little attention as a subject of theoretical understanding. We study the expected reciprocity of networks with an arbitrary degree sequence and a broad class of degree correlations by means of statistical ensemble approach. We demonstrate that degree correlations are crucial to understand the reciprocity in real networks and a hierarchy of correlation contributions to $r$ is revealed. Numerical experiments using novel network randomization methods show very good agreement to our analytical estimations.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA