{ "id": "cond-mat/0508434", "version": "v2", "published": "2005-08-18T18:19:06.000Z", "updated": "2006-05-16T15:17:25.000Z", "title": "Two-level relationships and Scale-Free Networks", "authors": [ "F. Stauffer" ], "journal": "Physica A, 365, 565-570 (2006)", "doi": "10.1016/j.physa.2005.12.070", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "Through the distinction between ``real'' and ``virtual'' links between the nodes of a graph, we develop a set of simple rules leading to scale-free networks with a tunable degree distribution exponent. Albeit sharing some similarities with preferential attachment, our procedure is both faster than a na\\\"ive implementation of the Barab\\'asi and Albert model and exhibits different clustering properties. The model is thoroughly studied numerically and suggests that reducing the set of partners a node can connect to is important in seizing the diversity of scale-free structures.", "revisions": [ { "version": "v2", "updated": "2006-05-16T15:17:25.000Z" } ], "analyses": { "keywords": [ "scale-free networks", "two-level relationships", "tunable degree distribution exponent", "albert model", "preferential attachment" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }