Critical phenomena on heterogeneous small-world networks

Abstract

We consider critical phenomena on heterogeneous small-world networks having a scale-free character but also arbitrary short-loops. After deriving the self-consistent equation for the order parameter and the critical surface, we prove that the critical behavior on complex networks is in fact infinitely robust with respect to the presence of arbitrary short-loops.

6 pages, examples addeed

References in corpus (4)

• Critical phenomena in complex networks
• Random graphs with clustering
• Bond percolation on a class of clustered random networks
• Effective field theory for models defined over small-world networks. First and second order phase transitions

Cited by in corpus (2)

• Percolation in self-similar networks
• Critical behavior and correlations on scale-free small-world networks. Application to network design