Location of Repository

A stochastic model for the evolution of the web allowing link deletion

By Trevor Fenner, Mark Levene and George Loizou

Abstract

Recently several authors have proposed stochastic evolutionary models for the growth of the web graph and other networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get richer'' phenomenon. We present a generalisation of the basic model by allowing deletion of individual links and show that it also gives rise to a power-law distribution. We derive the mean-field equations for this stochastic model and show that by examining a snapshot of the distribution at the steady state of the model, we are able to tell whether any link deletion has taken place and estimate the link deletion probability. Our model enables us to gain some insight into the distribution of inlinks in the web graph, in particular it suggests a power-law exponent of approximately 2.15 rather than the widely published exponent of 2.1

Topics: csis
Publisher: The Association for Computing Machinery
Year: 2006
OAI identifier: oai:eprints.bbk.ac.uk.oai2:268

Suggested articles

Preview

Citations

  1. (2003). A general model of web graphs. Random Structures and Algorithms, doi
  2. (2002). A statistical physics perspective on web growth. doi
  3. (2002). A stochastic evolutionary model exhibiting power-law behaviour with an exponential cutoff. Condensed Matter Archive, doi
  4. (2002). A stochastic model for the evolution of the Web. doi
  5. (1989). Bibliometric modeling processes and the empirical validity of Lotka’s law. doi
  6. (1999). Emergence of scaling in random networks. doi
  7. (2002). Evolution of networks. doi
  8. (1991). Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. doi
  9. (2000). Graph structure in the Web. doi
  10. (2000). How to make a Hill plot. doi
  11. (1965). Information theory and psycholinguistics. doi
  12. (1983). Introduction to Stochastic Dynamic Programming. doi
  13. (1955). On a class of skew distribution functions. doi
  14. (0561). Scaling properties of scale-free evolving networks: Continuous approach. Physical Review E, doi
  15. (2002). Self-similarity in the web. doi
  16. (2002). Statistical mechanics of complex networks.
  17. (2003). The structure and function of complex networks. doi
  18. (2002). The wayback machine: The web’s archive.
  19. (2002). The wayback machine: The web’s archive. Online, 26:59–61, March/April
  20. (2001). The Web’s hidden order. doi
  21. (2002). Winners don’t take all: Characterizing the competition for links on the web. doi
  22. (1955). World Wide Web scaling exponent from Simon’s doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.