An information-theoretic framework for resolving community structure in complex networks

被引:501
作者
Rosvall, Martin [1 ]
Bergstrom, Carl T. [1 ]
机构
[1] Univ Washington, Dept Biol, Seattle, WA 98195 USA
关键词
clustering; compression; information theory;
D O I
10.1073/pnas.0611034104
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
To understand the structure of a large-scale biological, social, or technological network, it can be helpful to decompose the network into smaller subunits or modules. In this article, we develop an information-theoretic foundation for the concept of modularity in networks. We identify the modules of which the network is composed by finding an optimal compression of its topology, capitalizing on regularities in its structure. We explain the advantages of this approach and illustrate them by partitioning a number of real-world and model networks.
引用
收藏
页码:7327 / 7331
页数:5
相关论文
共 31 条
[1]  
[Anonymous], 2004, J CIT REP
[2]   The minimum description length principle in coding and modeling [J].
Barron, A ;
Rissanen, J ;
Yu, B .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (06) :2743-2760
[3]  
Clauset A, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.066111
[4]   Comparing community structure identification -: art. no. P09008 [J].
Danon, L ;
Díaz-Guilera, A ;
Duch, J ;
Arenas, A .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, :219-228
[5]   Modularity and extreme edges of the Internet [J].
Eriksen, KA ;
Simonsen, I ;
Maslov, S ;
Sneppen, K .
PHYSICAL REVIEW LETTERS, 2003, 90 (14) :4
[6]   Resolution limit in community detection [J].
Fortunato, Santo ;
Barthelemy, Marc .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2007, 104 (01) :36-41
[7]   THE SOCIOLOGICAL CONCEPT OF GROUP - AN EMPIRICAL-TEST OF 2 MODELS [J].
FREEMAN, LC .
AMERICAN JOURNAL OF SOCIOLOGY, 1992, 98 (01) :152-166
[8]   Community structure in social and biological networks [J].
Girvan, M ;
Newman, MEJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2002, 99 (12) :7821-7826
[9]  
GRUNWALD P, 2005, AV MINIMUM DESCRIPTI, pCH1
[10]  
Guimerà R, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.025101