TY  - JOUR
PB  - Nature Publishing Group
VL  - 6
SN  - 2041-1723
Y1  - 2015/10//
A1  - Orsini, Chiara
A1  - Dankulov, Marija M.
A1  - Colomer-de-Simón, Pol
A1  - Jamakovic, Almerima
A1  - Mahadevan, Priya
A1  - Vahdat, Amin
A1  - Bassler, Kevin E.
A1  - Toroczkai, Zoltán
A1  - Boguñá, Marián
A1  - Caldarelli, Guido
A1  - Fortunato, Santo
A1  - Krioukov, Dmitri
AV  - public
TI  - Quantifying randomness in real networks
ID  - eprints2801
IS  - 8627
UR  - http://biblioproxy.cnr.it:2068/ncomms/2015/151020/ncomms9627/full/ncomms9627.html
N2  - Represented as graphs, real networks are intricate combinations of order and disorder. Fixing some of the structural properties of network models to their values observed in real networks, many other properties appear as statistical consequences of these fixed observables, plus randomness in other respects. Here we employ the dk-series, a complete set of basic characteristics of the network structure, to study the statistical dependencies between different network properties. We consider six real networks?the Internet, US airport network, human protein interactions, technosocial web of trust, English word network, and an fMRI map of the human brain?and find that many important local and global structural properties of these networks are closely reproduced by dk-random graphs whose degree distributions, degree correlations and clustering are as in the corresponding real network. We discuss important conceptual, methodological, and practical implications of this evaluation of network randomness, and release software to generate dk-random graphs.
JF  - Nature Communications
ER  -