TY  - JOUR
AV  - public
Y1  - 2013/02//
CY  - Lucca
ID  - eprints1495
KW  - networks
KW  -  urn models
JF  - Physical Review E
A1  - Caldarelli, Guido
A1  - Chessa, Alessandro
A1  - Crimaldi, Irene
A1  - Pammolli, Fabio
VL  - 87
UR  - http://link.aps.org/doi/10.1103/PhysRevE.87.020106
EP  - 4
SN  - 1539-3755
N2  - We analyze weighted networks as randomly reinforced urn processes, in which the edge-total weights are determined by a reinforcement mechanism. We develop a new statistical test and a new procedure, based on it, to study the evolution of networks over time, detecting the ?dominance?
of some edges with respect to the others and then assessing if a given instance of the network is taken at its steady state or not. Distance from the steady state can be considered as a measure of the relevance of the observed properties of the network. Our results are quite general, in the sense that they are not based on a particular probability distribution or functional form of the
random weights. Moreover, the proposed tool can be applied also to dense networks, which have received little attention by network community so far since they are often problematic. We apply our procedure in the context of the International Trade Network, determining a core of ?dominant
edges?.
TI  - Weighted Networks as Randomly Reinforced Urn Processes
PB  - American Physical Society
N1  - © 2013 American Physical Society
IS  - 2
ER  -