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Critical phenomena in networks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Feb 2003Embargo end date: 01 Jan 2002Publisher:American Physical Society (APS)Journal:Physical Review E, volume 67 (issn: 1063-651X, eissn: 1095-3787,

Authors: Sergey N. Dorogovtsev; Alexander V. Goltsev; José F. F. Mendes; José F. F. Mendes;

doi: 10.1103/physreve.67.026123 , 10.48550/arxiv.cond-mat/0204596

pmid: 12636764

arXiv: http://arxiv.org/abs/cond-mat/0204596

Critical phenomena in networks

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Abstract

We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections $P(k)$. The theory shows that the critical behavior depends in a crucial way on the form of $P(k)$ and differs strongly from the standard mean-field behavior. The critical behavior observed in various networks is analyzed and found to be in agreement with the theory.

5 pages

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Keywords

Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Condensed Matter - Statistical Mechanics

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
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