{ "id": "cond-mat/0603353", "version": "v2", "published": "2006-03-13T14:24:15.000Z", "updated": "2006-08-18T20:39:05.000Z", "title": "Percolation and Epidemic Thresholds in Clustered Networks", "authors": [ "M. Angeles Serrano", "Marian Boguna" ], "comment": "4 Pages and 3 Figures. Final version to appear in PRL", "journal": "Physical Review Letters 97, 088701 (2006)", "doi": "10.1103/PhysRevLett.97.088701", "categories": [ "cond-mat.dis-nn" ], "abstract": "We develop a theoretical approach to percolation in random clustered networks. We find that, although clustering in scale-free networks can strongly affect some percolation properties, such as the size and the resilience of the giant connected component, it cannot restore a finite percolation threshold. In turn, this implies the absence of an epidemic threshold in this class of networks extending, thus, this result to a wide variety of real scale-free networks which shows a high level of transitivity. Our findings are in good agreement with numerical simulations.", "revisions": [ { "version": "v2", "updated": "2006-08-18T20:39:05.000Z" } ], "analyses": { "keywords": [ "epidemic threshold", "real scale-free networks", "finite percolation threshold", "percolation properties", "giant connected component" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }