Bipartite structure of all complex networks

被引:149
作者
Guillaume, JL [1 ]
Latapy, M [1 ]
机构
[1] Univ Paris 07, CNRS, LIAFA, F-75005 Paris, France
关键词
graphs; interconnection networks; modelling; bipartite graphs;
D O I
10.1016/j.ipl.2004.03.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The analysis and modelling of various complex networks has received much attention in the last few years. Some such networks display a natural bipartite structure: two kinds of nodes coexist with links only between nodes of different kinds. This bipartite structure has not been deeply studied until now, mainly because it appeared to be specific to only a few complex networks. However, we show here that all complex networks can be viewed as bipartite structures sharing some important statistics, like degree distributions. The basic properties of complex networks can be viewed as consequences of this underlying bipartite structure. This leads us to propose the first simple and intuitive model for complex networks which captures the main properties met in practice. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:215 / 221
页数:7
相关论文
共 24 条
  • [1] Statistical mechanics of complex networks
    Albert, R
    Barabási, AL
    [J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 47 - 97
  • [2] Internet -: Diameter of the World-Wide Web
    Albert, R
    Jeong, H
    Barabási, AL
    [J]. NATURE, 1999, 401 (6749) : 130 - 131
  • [3] Error and attack tolerance of complex networks
    Albert, R
    Jeong, H
    Barabási, AL
    [J]. NATURE, 2000, 406 (6794) : 378 - 382
  • [4] Emergence of scaling in random networks
    Barabási, AL
    Albert, R
    [J]. SCIENCE, 1999, 286 (5439) : 509 - 512
  • [5] Borgatti S.P., 2002, Harv MA: analytic Technol, V6, P12
  • [6] BORNHOLDT S, 2003, HDB GRAPHS NETWORKS
  • [7] The small world of human language
    Cancho, RFI
    Solé, RV
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2001, 268 (1482) : 2261 - 2265
  • [8] Structure of growing networks with preferential linking
    Dorogovtsev, SN
    Mendes, JFF
    Samukhin, AN
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (21) : 4633 - 4636
  • [9] Evolution of networks
    Dorogovtsev, SN
    Mendes, JFF
    [J]. ADVANCES IN PHYSICS, 2002, 51 (04) : 1079 - 1187
  • [10] Erdos P., 1959, PUBL MATH-DEBRECEN, V6, P290, DOI [10.5486/PMD.1959.6.3-4.12, DOI 10.5486/PMD.1959.6.3-4.12]