{ "id": "cond-mat/0210224", "version": "v1", "published": "2002-10-10T06:25:30.000Z", "updated": "2002-10-10T06:25:30.000Z", "title": "Betweenness centrality correlation in social networks", "authors": [ "K. -I. Goh", "E. Oh", "B. Kahng", "D. Kim" ], "comment": "4 pages, 4 figures, 1 table", "doi": "10.1103/PhysRevE.67.017101", "categories": [ "cond-mat.stat-mech" ], "abstract": "Scale-free (SF) networks exhibiting a power-law degree distribution can be grouped into the assortative, dissortative and neutral networks according to the behavior of the degree-degree correlation coefficient. Here we investigate the betweenness centrality (BC) correlation for each type of SF networks. While the BC-BC correlation coefficients behave similarly to the degree-degree correlation coefficients for the dissortative and neutral networks, the BC correlation is nontrivial for the assortative ones found mainly in social networks. The mean BC of neighbors of a vertex with BC $g_i$ is almost independent of $g_i$, implying that each person is surrounded by almost the same influential environments of people no matter how influential the person is.", "revisions": [ { "version": "v1", "updated": "2002-10-10T06:25:30.000Z" } ], "analyses": { "subjects": [ "89.75.-k", "89.20.-a", "89.65.-s" ], "keywords": [ "betweenness centrality correlation", "social networks", "degree-degree correlation coefficient", "neutral networks", "bc-bc correlation coefficients behave" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2003, "month": "Jan", "volume": 67, "number": 1, "pages": "017101" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003PhRvE..67a7101G" } } }