English

Critical phenomena on heterogeneous small-world networks

Disordered Systems and Neural Networks 2010-12-14 v2 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1005.5320,
  title  = {Critical phenomena on heterogeneous small-world networks},
  author = {M. Ostilli and J. F. F. Mendes},
  journal= {arXiv preprint arXiv:1005.5320},
  year   = {2010}
}

Comments

6 pages, examples addeed

R2 v1 2026-06-21T15:29:12.273Z