Skip to main content

Finding Maximal Stable Cores in Social Networks

  • Conference paper
  • First Online:
Book cover Databases Theory and Applications (ADC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 10837))

Included in the following conference series:

  • 1207 Accesses

Abstract

Maximal Stable Cores are a cohesive subgraph on a social network which use both engagement and similarity to identify stable groups of users. The problem is, when given a query user and a similarity threshold, to find all Maximal Stable Cores relative to the user. We propose a baseline algorithm and as the problem is NP-Hard, an improved heuristic algorithm which utilises linear time k-core decomposition. Experiments how that when the two algorithms differ, the improved algorithm significantly outperforms the baseline.

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 EPUB and 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

References

  1. Batagelj, V., Zaversnik, M.: An O(m) algorithm for cores decomposition of networks. CoRR, cs.DS/0310049 (2003)

    Google Scholar 

  2. Bhawalkar, K., Kleinberg, J., Lewi, K., Roughgarden, T., Sharma, A.: Preventing unravelling in social networks: the anchored k-core problem. SIAM J. Discrete Math. 29(3), 1452–1475 (2015)

    Article  MathSciNet  Google Scholar 

  3. Bron, C., Kerbosch, J.: Finding all cliques of an undirected graph (algorithm 457). Commun. ACM 16(9), 575–576 (2006)

    Article  Google Scholar 

  4. Cheng, J., Zhu, L., Ke, Y., Chu, S.: Fast algorithms for maximal clique enumeration with limited memory. In: KDD, pp. 1240–1348 (2012)

    Google Scholar 

  5. Eppstein, D., Strash, D.: Listing all maximal cliques in large sparse real-world graphs. In: Pardalos, P.M., Rebennack, S. (eds.) SEA 2011. LNCS, vol. 6630, pp. 364–375. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-20662-7_31

    Chapter  Google Scholar 

  6. Fang, Y., Cheng, R., Luo, S., Hu, J.: Effective community search for large attributed graphs. PVLDB 9(12), 1233–1244 (2016)

    Google Scholar 

  7. Fang, Y., Zhang, H., Ye, Y., Li, X.: Detecting hot topics from twitter: a multiview approach. J. Inf. Sci. 40(5), 578–593 (2014)

    Article  Google Scholar 

  8. Goldberg, M.K., Kelly, S., Magdon-Ismail, M., Mertsalov, K., Wallace, A.: Finding overlapping communities in social networks. In: SocialCom/PASSAT, pp. 104–113 (2010)

    Google Scholar 

  9. Hristova, D., Musolesi, M., Mascolo, C.: Keep your friends close and your facebook friends closer: a multiplex network approach to the analysis of offline and online social ties. In: ICWSM (2014)

    Google Scholar 

  10. Huang, X., Lu, W., Lakshmanan, L.V.S.: Truss decomposition of probabilistic graphs: semantics and algorithms. In: SIGMOD, pp. 77–90 (2016)

    Google Scholar 

  11. Seidman, S.B.: Network structure and minimum degree. Soc. Netw. 5(3), 269–287 (1983)

    Article  MathSciNet  Google Scholar 

  12. Khaouid, W., Barsky, M., Srinivasan, V., Thomo, A.: K-core deomposition of large networks on a single PC. PVLDB 9(1), 13–23 (2015)

    Google Scholar 

  13. Wang, J., Cheng, J., Fi, A.W.: Redundancy-aware maximal cliques. In: KDD, pp. 122–130 (2013)

    Google Scholar 

  14. Zhang, F., Zhang, W., Zhang, Y., Qin, L., Lin, X.: OLAK: an efficient algorithm to prevent unravelling in social networks. PVLDB 10(6), 649–660 (2017)

    Google Scholar 

  15. Zhang, F., Zhang, Y., Qin, L., Zhang, W., Lin, X.: When engagement meets similarity: efficient (k, r)-core computation on social networks. PVLDB 10(10), 998–1009 (2017)

    Google Scholar 

  16. Zhu, Q., Hu, H., Xu, J., Lee, W.: Geo-social group queries with minimum acquaintance constraint. CoRR, abs/1406.7367 (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexander Zhou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhou, A., Zhang, F., Yuan, L., Zhang, Y., Lin, X. (2018). Finding Maximal Stable Cores in Social Networks. In: Wang, J., Cong, G., Chen, J., Qi, J. (eds) Databases Theory and Applications. ADC 2018. Lecture Notes in Computer Science(), vol 10837. Springer, Cham. https://doi.org/10.1007/978-3-319-92013-9_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-92013-9_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-92012-2

  • Online ISBN: 978-3-319-92013-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics