Critical phenomena in networks
A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes
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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