Skip to main content
SpringerLink
Log in

Growing distributed networks with arbitrary degree distributions

  • Interdisciplinary Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

We consider distributed networks, such as peer-to-peer networks, whose structure can be manipulated by adjusting the rules by which vertices enter and leave the network. We focus in particular on degree distributions and show that, with some mild constraints, it is possible by a suitable choice of rules to arrange for the network to have any degree distribution we desire. We also describe a mechanism based on biased random walks by which appropriate rules could be implemented in practice. As an example application, we describe and simulate the construction of a peer-to-peer network optimized to minimize search times and bandwidth requirements.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • M.E.J. Newman, SIAM Review 45, 167 (2003)

    Article  MATH  Google Scholar 

  • S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Phys. Rep. 424, 175 (2006)

    Article  ADS  Google Scholar 

  • S.N. Dorogovtsev, J.F.F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003)

  • M.E.J. Newman, A.-L. Barabási, D.J. Watts, The Structure and Dynamics of Networks (Princeton University Press, Princeton, 2006)

  • G. Paul, T. Tanizawa, S. Havlin, H.E. Stanley, Eur. Phys. J. B 38, 187 (2004)

    Article  ADS  Google Scholar 

  • L.A. Adamic, R.M. Lukose, A.R. Puniyani, B.A. Huberman, Phys. Rev. E 64, 046135 (2001)

    Article  ADS  Google Scholar 

  • N. Sarshar, P.O. Boykin, V.P. Rowchowdhury, in Proceedings of the 4th International Conference on Peer-to-Peer Computing (IEEE Computer Society, New York, 2004), pp. 2–9

  • T. Hong, in Peer-to-Peer: Harnessing the Benefits of a Disruptive Technology, edited by A. Oram (O'Reilly and Associates, Sebastopol, CA, 2001), pp. 203–241

  • P.L. Krapivsky, S. Redner, Phys. Rev. E 63, 066123 (2001)

    Article  ADS  Google Scholar 

  • C. Moore, G. Ghoshal, M.E.J. Newman, Phys. Rev. E 74, 036121 (2006)

    Article  ADS  Google Scholar 

  • M.E.J. Newman, S.H. Strogatz, D.J. Watts, Phys. Rev. E 64, 026118 (2001)

    Article  ADS  Google Scholar 

  • N. Sarshar, V. Roychowdhury, Phys. Rev. E 69, 026101 (2004)

    Article  ADS  Google Scholar 

  • C. Cooper, A. Frieze, J. Vera, Internet Mathematics 1, 463 (2004)

    MATH  Google Scholar 

  • C. Gkantsidis, M. Mihail, A. Saberi, in Proceedings of the 23rd Annual Joint Conference of the IEEE Computer and Communications Societies (Institute of Electrical and Electronics Engineers, New York, 2004)

  • J.P. Ritter, Why Gnutella can't scale. No, really (2000), http://www.darkridge.com/ jpr5/doc/gnutella.html

  • M. Ripeanu, I. Foster, A. Iamnitchi, IEEE Internet Computing 6, 50 (2002)

    Google Scholar 

  • A. Broder, A. Karlin, Journal of Theoretical Probability 2, 101 (1989)

    Article  MATH  Google Scholar 

  • W. Aiello, F. Chung, L. Lu, in Proceedings of the 32nd Annual ACM Symposium on Theory of Computing (Association of Computing Machinery, New York, 2000), pp. 171–180

  • M.E.J. Newman, Contemporary Physics 46, 323 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Michigan, Ann Arbor, MI, 48109, USA

    G. Ghoshal & M. E.J. Newman

  2. Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, 48109, USA

    G. Ghoshal

  3. Center for the Study of Complex Systems, University of Michigan, Ann Arbor, MI, 48109, USA

    M. E.J. Newman

Authors
  1. G. Ghoshal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. E.J. Newman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. E.J. Newman.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghoshal, G., Newman, M. Growing distributed networks with arbitrary degree distributions. Eur. Phys. J. B 58, 175–184 (2007). https://doi.org/10.1140/epjb/e2007-00208-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2007-00208-2

PACS.

Search

Navigation