Name
Abstract | ||
|---|---|---|
We provide a simple proof that graphs in a general class of self-similar networks have zero percolation threshold. The considered self-similar networks include random scale-free graphs with given expected node degrees and zero clustering, scale-free graphs with finite clustering and metric structure, growing scale-free networks, and many real networks. The proof and the derivation of the giant component size do not require the assumption that networks are treelike. Our results rely only on the observation that self-similar networks possess a hierarchy of nested subgraphs whose average degree grows with their depth in the hierarchy. We conjecture that this property is pivotal for percolation in networks. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1103/PhysRevLett.106.048701 | PHYSICAL REVIEW LETTERS |
Keywords | Field | DocType |
scale free,percolation threshold,scale free network,giant component | Discrete mathematics,Percolation critical exponents,Giant component,Complex network,Degree distribution,Percolation threshold,Percolation,Clique percolation method,Continuum percolation theory,Condensed matter physics,Physics | Journal |
Volume | Issue | ISSN |
106 | 4 | 0031-9007 |
Citations | PageRank | References |
3 | 0.40 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Ángeles Serrano | 1 | 3 | 0.40 |
| Dmitri Krioukov | 2 | 68 | 4.30 |
| Marián Boguñá | 3 | 111 | 7.39 |