期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 42, 期 19, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1751-8113/42/19/195007
关键词
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资金
- IST STREP GENNETEC [034952]
- MIUR [2007JHLPEZ]
In this work, we study the percolation transition and large deviation properties of generalized canonical network ensembles. This new type of random networks might have a very rich complex structure, including high heterogeneous degree sequences, non-trivial community structure or specific spatial dependence of the link probability for networks embedded in a metric space. We find the cluster distribution of the networks in these ensembles by mapping the problem to a fully connected Potts model with heterogeneous couplings. We show that the nature of the Potts model phase transition, linked to the birth of a giant component, has a crossover from second to first order when the number of critical colors q(c) = 2 in all the networks under study. These results shed light on the properties of dynamical processes defined on these network ensembles.
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