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Critical phenomena in networks

A. V. Goltsev·S. N. Dorogovtsev·J. F. F. Mendes
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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.

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BibTeXRIS

A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes. 2003-01-21. Critical phenomena in networks. https://doi.org/10.1103/physreve.67.026123

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