Centrality estimation in large networks

被引:207
作者
Brandes, Ulrik [1 ]
Pich, Christian [1 ]
机构
[1] Univ Konstanz, Dept Comp & Informat Sci, D-78457 Constance, Germany
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 07期
关键词
complex networks; betweenness centrality; approximate computation;
D O I
10.1142/S0218127407018403
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Centrality indices are an essential concept in network analysis. For those based on shortest-path distances the computation is at least quadratic in the number of nodes, since it usually involves solving the single-source shortest-paths (SSSP) problem from every node. Therefore, exact computation is infeasible for many large networks of interest today. Centrality scores can be estimated, however, from a limited number of SSSP computations. We present results from an experimental study of the quality of such estimates under various selection strategies for the source vertices.
引用
收藏
页码:2303 / 2318
页数:16
相关论文
共 32 条
[11]  
Brandes U., 2005, Lecture Notes in Computer Science
[12]   The anatomy of a large-scale hypertextual Web search engine [J].
Brin, S ;
Page, L .
COMPUTER NETWORKS AND ISDN SYSTEMS, 1998, 30 (1-7) :107-117
[13]  
CARPENTER T, 2002, W MULT C WMC 2002
[14]   Studying complex discursive systems - Centering resonance analysis of communication [J].
Corman, SR ;
Kuhn, T ;
McPhee, RD ;
Dooley, KJ .
HUMAN COMMUNICATION RESEARCH, 2002, 28 (02) :157-206
[15]  
Eppstein D., 2004, J GRAPH ALGORITHMS A, V8, P39, DOI [DOI 10.7155/jgaa.00081, 10.7155/jgaa.00081]
[16]   CENTRALITY IN VALUED GRAPHS - A MEASURE OF BETWEENNESS BASED ON NETWORK FLOW [J].
FREEMAN, LC ;
BORGATTI, SP ;
WHITE, DR .
SOCIAL NETWORKS, 1991, 13 (02) :141-154
[17]   SET OF MEASURES OF CENTRALITY BASED ON BETWEENNESS [J].
FREEMAN, LC .
SOCIOMETRY, 1977, 40 (01) :35-41
[18]   RANDOM GRAPHS [J].
GILBERT, EN .
ANNALS OF MATHEMATICAL STATISTICS, 1959, 30 (04) :1141-1144
[19]   ECCENTRICITY AND CENTRALITY IN NETWORKS [J].
HAGE, P ;
HARARY, F .
SOCIAL NETWORKS, 1995, 17 (01) :57-63
[20]   A UNIFIED APPROACH TO APPROXIMATION ALGORITHMS FOR BOTTLENECK PROBLEMS [J].
HOCHBAUM, DS ;
SHMOYS, DB .
JOURNAL OF THE ACM, 1986, 33 (03) :533-550