Multi-species grandcanonical models for networks with reciprocity

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Reciprocity is a second-order correlation that has been recently detected in all real directed networks and shown to have a crucial effect on the dynamical processes taking place on them. However, no current theoretical model generates networks with this nontrivial property. Here we propose a grandcanonical class of models reproducing the observed patterns of reciprocity by regarding single and double links as Fermi particles of different `chemical species' governed by the corresponding chemical potentials. Within this framework we find interesting special cases such as the extensions of random graphs, the configuration model and hidden-variable models. Our theoretical predictions are also in excellent agreement with the empirical results for networks with well studied reciprocity.
4 pages, 1 figure

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Disordered Systems and Neural Networks, Statistical Mechanics, Adaptation and Self-Organizing Systems, Data Analysis, Statistics and Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/121165

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0506494
 http://arxiv.org/abs/cond-mat/0506494
 Physical Review E 73, 015101(R) (2006)
 doi:10.1103/PhysRevE.73.015101

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arXiv