Skip to main content

Estimating the Degrees of Neighboring Nodes in Online Social Networks

  • Conference paper
PRIMA 2014: Principles and Practice of Multi-Agent Systems (PRIMA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8861))

Abstract

We propose an agent centric algorithm that each agent (i.e., node) in a social network can use to estimate each of its neighbor’s degree. The knowledge about the degrees of neighboring nodes is useful for many existing algorithms in social networks studies. For example, algorithms to estimate the diffusion rate of information spread need such information. In many studies, either such degree information is assumed to be available or an overall probabilistic distribution of degrees of nodes is presumed. Furthermore, most of these existing algorithms facilitate a macro-level analysis assuming the entire network is available to the researcher although sampling may be required due to the size of the network. In this paper, we consider the case that the network topology is unknown to individual nodes and therefore each node must estimate the degrees of its neighbors. In estimating the degrees, the algorithm correlates observable activities of neighbors to Bernoulli trials and utilize a power-law distribution to infer unobservable activities. Our algorithm was able to estimate the neighbors’ degrees in 92% accuracy for the 60867 number of nodes. We evaluate the mean squared error of accuracy for the proposed algorithm on a real and a synthetic networks.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hay, M., Li, C., Miklau, G., Jensen, D.: Accurate estimation of the degree distribution of private networks. In: Proceedings of the 2009 Ninth IEEE International Conference on Data Mining, ICDM 2009, pp. 169–178. IEEE Computer Society, Washington, DC (2009)

    Google Scholar 

  2. Snijders, T.A.B.: Accounting for degree distributions in empirical analysis of network dynamics. Proceedings of the National Academy of Sciences, 109–114 (2003)

    Google Scholar 

  3. Kupavskii, A., Ostroumova, L., Shabanov, D.A., Tetali, P.: The distribution of second degrees in the buckley-osthus random graph model. Internet Mathematics 9(4), 297–335 (2013)

    Article  MathSciNet  Google Scholar 

  4. Wang, T., Chen, Y., Zhang, Z., Xu, T., Jin, L., Hui, P., Deng, B., Li, X.: Understanding graph sampling algorithms for social network analysis. In: ICDCS Workshops, pp. 123–128. IEEE Computer Society (2011)

    Google Scholar 

  5. Ribeiro, B.F., Towsley, D.: On the estimation accuracy of degree distributions from graph sampling. In: CDC, pp. 5240–5247 (2012)

    Google Scholar 

  6. Lee, J.Y., Oh, J.C.: A model for recursive propagations of reputations in social networks. In: Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, ASONAM 2013, pp. 666–670. ACM, New York (2013)

    Chapter  Google Scholar 

  7. Lenzen, C., Wattenhofer, R.: Distributed Algorithms for Sensor Networks. Philosophical Transactions of the Royal Society A 370(1958) (January 2012)

    Google Scholar 

  8. Albert, R., Barabási, A.L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74(1), 47–97 (2002)

    Article  MATH  Google Scholar 

  9. Ribeiro, B.F., Towsley, D.: On the estimation accuracy of degree distributions from graph sampling. In: CDC, pp. 5240–5247 (2012)

    Google Scholar 

  10. Ye, S., Wu, S.F.: Estimating the size of online social networks. In: Elmagarmid, A.K., Agrawal, D. (eds.) SocialCom/PASSAT, pp. 169–176. IEEE Computer Society (2010)

    Google Scholar 

  11. Page, L., Brin, S., Motwani, R., Winograd, T.: The pagerank citation ranking: Bringing order to the web. Technical Report 1999-66, Stanford InfoLab (November 1999)

    Google Scholar 

  12. Mislove, A., Marcon, M., Gummadi, K.P., Druschel, P., Bhattacharjee, B.: Measurement and analysis of online social networks. In: Proceedings of the 7th ACM SIGCOMM Conference on Internet Measurement, IMC 2007, pp. 29–42. ACM, New York (2007)

    Google Scholar 

  13. Erdös, P., Rényi, A.: On random graphs, I. Publicationes Mathematicae (Debrecen) 6, 290–297 (1959)

    MathSciNet  MATH  Google Scholar 

  14. Galeotti, A., Goyal, S., Jackson, M.O., Vega-Redondo, F., Yariv, L.: Network games. Review of Economic Studies 77(1), 218–244 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Casella, G., Berger, R.: Statistical Inference. Duxbury Resource Center (June 2001)

    Google Scholar 

  16. Csanyi, G., Szendroi, B.: Structure of a large social network. Physical Review E 69(3) (March 2004); 036131 PT: J; PN: Part 2; PG: 5

    Google Scholar 

  17. Shannon, P., Markiel, A., Ozier, O., Baliga, N.S., Wang, J.T., Ramage, D., Amin, N., Schwikowski, B., Ideker, T.: Cytoscape: a software environment for integrated models of biomolecular interaction networks. Genome Research 13(11), 2498–2504 (2003)

    Article  Google Scholar 

  18. Viswanath, B., Mislove, A., Cha, M., Gummadi, K.P.: On the evolution of user interaction in facebook. In: Proceedings of the 2nd ACM SIGCOMM Workshop on Social Networks (WOSN 2009) (August 2009)

    Google Scholar 

  19. Mislove, A., Marcon, M., Gummadi, K.P., Druschel, P., Bhattacharjee, B.: Measurement and analysis of online social networks. In: Proceedings of the 5th ACM/USENIX Internet Measurement Conference (IMC 2007) (2007)

    Google Scholar 

  20. Newman, M.E.J., Girvan, M.: Finding and evaluating community structure in networks. Phys. Rev. E 69(2), 026113 (2004)

    Google Scholar 

  21. Clauset, A., Shalizi, C.R., Newman, M.E.J.: Power-law distributions in empirical data. SIAM Rev. 51(4), 661–703 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  22. Gillespie, C.S.: Fitting heavy tailed distributions: the poweRlaw package (2014), R package version 0.20.5

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Lee, J., Oh, J.C. (2014). Estimating the Degrees of Neighboring Nodes in Online Social Networks. In: Dam, H.K., Pitt, J., Xu, Y., Governatori, G., Ito, T. (eds) PRIMA 2014: Principles and Practice of Multi-Agent Systems. PRIMA 2014. Lecture Notes in Computer Science(), vol 8861. Springer, Cham. https://doi.org/10.1007/978-3-319-13191-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-13191-7_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13190-0

  • Online ISBN: 978-3-319-13191-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics