{ "id": "1207.6994", "version": "v1", "published": "2012-07-30T16:58:43.000Z", "updated": "2012-07-30T16:58:43.000Z", "title": "Random Walks between Leaves of Random Networks", "authors": [ "David Lancaster" ], "comment": "12 pages, 6 figures", "categories": [ "cond-mat.dis-nn", "cs.CY" ], "abstract": "We consider random walks that start and are absorbed on the leaves of random networks and study the length of such walks. For the networks we investigate, Erdos-Renyi random graphs and Barabasi-Albert scale free networks, these walks are not transient and we consider various approaches to computing the probability of a given length walk.One approach is to label nodes according to both their total degree and the number of links connected to leaf nodes, and as a byproduct we compute the probability of a random node of a scale free network having such a label.", "revisions": [ { "version": "v1", "updated": "2012-07-30T16:58:43.000Z" } ], "analyses": { "keywords": [ "random networks", "random walks", "barabasi-albert scale free networks", "erdos-renyi random graphs", "probability" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1207.6994L" } } }