Chapter 14. Accelerated growth of networks

  1. Stefan Bornholdt3 and
  2. Hans Georg Schuster4
  1. Sergei N. Dorogovtsev1,2 and
  2. Jose F. F. Mendes1

Published Online: 28 JAN 2005

DOI: 10.1002/3527602755.ch14

Handbook of Graphs and Networks: From the Genome to the Internet

Handbook of Graphs and Networks: From the Genome to the Internet

How to Cite

Dorogovtsev, S. N. and Mendes, J. F. F. (2002) Accelerated growth of networks, in Handbook of Graphs and Networks: From the Genome to the Internet (eds S. Bornholdt and H. G. Schuster), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527602755.ch14

Editor Information

  1. 3

    University of Leipzig, Germany

  2. 4

    University of Kiel, Germany

Author Information

  1. 1

    Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

  2. 2

    A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 8 NOV 2002

ISBN Information

Print ISBN: 9783527403363

Online ISBN: 9783527602759

SEARCH

Keywords:

  • networks;
  • accelerated growth;
  • degree distributions;
  • types of degree distribution;
  • word web;
  • wealth distribution

Summary

  • Acceleration

  • Reasons for acceleration

  • Degree distributions of networks

    • Types of degree distribution

    • Power-law degree distribution

  • General relations for accelerated growth

  • Scaling relations for accelerated growth

  • Degree distributions produced by acceleration

    • Model for γ < 2

    • Model for γ > 2

    • Dynamically induced accelerated growth

    • Partial copying of edges and multifractality

  • Evolution of the Word Web

  • Wealth distribution in evolving societies

    • Stable (stagnating) societies

    • Developing and degrading societies

  • References