Critical phenomena in networks

Details Critical phenomena in networks Critical phenomena in networks

2002-04-28

arxiv.org/abs/cond-mat/0204596v2

Phys. Rev. E 67, 026123 (2003)

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1103/PhysRevE.67.026123

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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