Skip to main content
Log in

A neighbour scale fixed approach for influence maximization in social networks

  • Published:
Computing Aims and scope Submit manuscript

Abstract

Influence maximization is currently a most extensively researched topic in social network analysis. Existing approaches tackle this task by either pursuing the real influence strength of a node or designing proper measurements for estimating it. The degree is a popularly adopted influence strength metric, based on which a variety of methods have been developed. Though with good efficiency, degree-based methods suffer unsatisfactory accuracy since this metric only covers a limited considered scale over the whole network of interest and also lacks discriminatory power. In this paper, we propose a novel influence maximization method, named Fixed Neighbour Scale (FNS), which extracts useful information from multiple levels of neighbours for a target node to estimate its influence strength, rather than only considering directly connected neighbours as in degree-based methods. To facilitate the implementation of FNS, we also present a centrality measurement termed FNS-dist, which estimates a node’s influence strength by summing its multi-level neighbours’ weights that are mainly determined by their distances to the target node. Experiments conducted on nine networks of different sizes and categories show that the proposed FNS method achieves excellent and stable performance compared with other algorithms based on designing metrics for measuring influence strength. We also exhibit that FNS-dist is a superior alternative centrality which is more proper and precise than the degree.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Notes

  1. In a nutshell, the distance between a node and its ith-level neighbours is equal to i.

References

  1. Arora A, Galhotra S, Ranu S (2017) Debunking the myths of influence maximization: an in-depth benchmarking study. In: Proceedings of the 2017 ACM international conference on management of data, pp 651–666. ACM

  2. Bavelas A (1950) Communication patterns in task-oriented groups. J Acoust Soc Am 22(6):725–730

    Article  Google Scholar 

  3. Bonacich P, Lloyd P (2001) Eigenvector-like measures of centrality for asymmetric relations. Soc Netw 23(3):191–201

    Article  Google Scholar 

  4. Borgs C, Brautbar M, Chayes J, Lucier B (2014) Maximizing social influence in nearly optimal time. In: Proceedings of the twenty-fifth annual ACM-SIAM symposium on discrete algorithms, pp 946–957. SIAM

  5. Bouttier J, Di Francesco P, Guitter E (2003) Geodesic distance in planar graphs. Nucl Phys B 663(3):535–567

    Article  MathSciNet  Google Scholar 

  6. Cha M, Haddadi H, Benevenuto F, Gummadi KP (2010) Measuring user influence in twitter: the million follower fallacy. In: ICWSM 2010—proceedings of the 4th international AAAI conference on weblogs and social media, pp 10–17

  7. Chen W, Wang Y, Yang S (2009) Efficient influence maximization in social networks. In: Proceedings of the 15th ACM SIGKDD international conference on Knowledge discovery and data mining, pp 199–208. ACM

  8. Chen YC, Zhu WY, Peng WC, Lee WC, Lee SY (2014) Cim: community-based influence maximization in social networks. ACM Trans Intell Syst Technol 5(2):25

    Article  Google Scholar 

  9. Cheng S, Shen H, Huang J, Zhang G, Cheng X (2013) Staticgreedy: solving the scalability-accuracy dilemma in influence maximization. In: Proceedings of the 22nd ACM international conference on information and knowledge management, pp 509–518. ACM

  10. Cho E, Myers SA, Leskovec J (2011) Friendship and mobility: user movement in location-based social networks. In: Proceedings of the 17th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1082–1090. ACM

  11. Colizza V, Flammini A, Serrano MA, Vespignani A (2006) Detecting rich-club ordering in complex networks. Nat Phys 2(3):110–115

    Article  Google Scholar 

  12. Diestel R (2000) Graph theory. Math Gaz 173(502):67–128

    MATH  Google Scholar 

  13. Domingos P, Richardson M (2001) Mining the network value of customers. In: Proceedings of the seventh ACM SIGKDD international conference on knowledge discovery and data mining, pp 57–66. ACM

  14. Freeman LC (1977) A set of measures of centrality based on betweenness. Sociometry 40(1):35–41

    Article  Google Scholar 

  15. Goyal A, Lu W, Lakshmanan LV (2011) Celf++: optimizing the greedy algorithm for influence maximization in social networks. In: Proceedings of the 20th international conference companion on world wide web, pp 47–48. ACM

  16. Guimera R, Danon L, Diaz-Guilera A, Giralt F, Arenas A (2003) Self-similar community structure in a network of human interactions. Phys Rev E 68(6):065103

    Article  Google Scholar 

  17. Huang J, Cheng XQ, Shen HW, Zhou T, Jin X (2012) Exploring social influence via posterior effect of word-of-mouth recommendations. In: Proceedings of the fifth ACM international conference on web search and data mining, pp 573–582. ACM

  18. Hamsterster friendships network dataset—konect. http://konect.uni-koblenz.de/networks/petster-friendships-hamster (2017)

  19. Kempe D, Kleinberg J, Tardos É (2003) Maximizing the spread of influence through a social network. In: Proceedings of the ninth ACM SIGKDD international conference on knowledge discovery and data mining, pp 137–146. ACM

  20. Leskovec J, Kleinberg J, Faloutsos C (2007) Graph evolution: densification and shrinking diameters. ACM Trans Knowl Discov Data 1(1):2

    Article  Google Scholar 

  21. Leskovec J, Krause A, Guestrin C, Faloutsos C, VanBriesen J, Glance N (2007) Cost-effective outbreak detection in networks. In: Proceedings of the 13th ACM SIGKDD international conference on knowledge discovery and data mining, pp 420–429. ACM

  22. Li Y, Fan J, Wang Y, Tan KL (2018) Influence maximization on social graphs: a survey. IEEE Trans Knowl Data Eng 30(10):1852–1872

    Article  Google Scholar 

  23. Liu D, Jing Y, Zhao J, Wang W, Song G (2017) A fast and efficient algorithm for mining top-k nodes in complex networks. Sci Rep 7:43330

    Article  Google Scholar 

  24. Miller G (1998) WordNet: an electronic lexical database. MIT Press, Cambridge

    MATH  Google Scholar 

  25. Nemhauser GL, Wolsey LA, Fisher ML (1978) An analysis of approximations for maximizing submodular set functions-I. Math Program 14(1):265–294

    Article  MathSciNet  Google Scholar 

  26. Nguyen DL, Nguyen TH, Do TH, Yoo M (2017) Probability-based multi-hop diffusion method for influence maximization in social networks. Wirel Pers Commun 93(4):903–916

    Article  Google Scholar 

  27. Ohsaka N, Akiba T, Yoshida Y, Kawarabayashi Ki (2014) Fast and accurate influence maximization on large networks with pruned Monte–Carlo simulations. In: 28th AAAI conference on artificial intelligence, pp 138–144

  28. Page L, Brin S, Motwani R, Winograd T (1998) The pagerank citation ranking: bringing order to the web. Stanf Digit Libr Work Pap 9(1):1–14

    Google Scholar 

  29. Peng S, Zhou Y, Cao L, Yu S, Niu J, Jia W (2018) Influence analysis in social networks: a survey. J Netw Comput Appl 106:17–32

    Article  Google Scholar 

  30. Radicchi F, Castellano C (2017) Fundamental difference between superblockers and superspreaders in networks. Phys Rev E 95(1):012318

    Article  Google Scholar 

  31. Richardson M, Domingos P (2002) Mining knowledge-sharing sites for viral marketing. In: Proceedings of the eighth ACM SIGKDD international conference on knowledge discovery and data mining, pp 61–70. ACM

  32. Ripeanu M, Foster I, Iamnitchi A (2002) Mapping the gnutella network: properties of large-scale peer-to-peer systems and implications for system design. In: IEEE internet computing journal

  33. Shang J, Zhou S, Li X, Liu L, Wu H (2017) Cofim: a community-based framework for influence maximization on large-scale networks. Knowl Based Syst 117:88–100

    Article  Google Scholar 

  34. Sheikhahmadi A, Nematbakhsh MA, Shokrollahi A (2015) Improving detection of influential nodes in complex networks. Phys A Stat Mech Appl 436:833–845

    Article  Google Scholar 

  35. Tang Y, Shi Y, Xiao X (2015) Influence maximization in near-linear time: a martingale approach. In: Proceedings of the 2015 ACM SIGMOD international conference on management of data, pp 1539–1554. ACM

  36. Tang Y, Xiao X, Shi Y (2014) Influence maximization: Near-optimal time complexity meets practical efficiency. In: Proceedings of the 2014 ACM SIGMOD international conference on management of data, pp 75–86. ACM

  37. Wang X, Su Y, Zhao C, Yi D (2016) Effective identification of multiple influential spreaders by degreepunishment. Phys A Stat Mech Appl 461:238–247

    Article  Google Scholar 

  38. Wang Y, Cong G, Song G, Xie K (2010) Community-based greedy algorithm for mining top-k influential nodes in mobile social networks. In: Proceedings of the 16th ACM SIGKDD international conference on knowledge discovery and data mining, pp 1039–1048. ACM

  39. Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393(6684):440

    Article  Google Scholar 

  40. Zafarani R, Liu H (2009) Social computing data repository at ASU. http://socialcomputing.asu.edu/datasets/Douban

  41. Zhou C, Zhang P, Zang W, Guo L (2015) On the upper bounds of spread for greedy algorithms in social network influence maximization. IEEE Trans Knowl Data Eng 27(10):2770–2783

    Article  Google Scholar 

  42. Zhou S, Mondragón RJ (2004) The rich-club phenomenon in the internet topology. IEEE Commun Lett 8(3):180–182

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities (Grant No. 2018ZZCX14).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhixiao Wang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rui, X., Yang, X., Fan, J. et al. A neighbour scale fixed approach for influence maximization in social networks. Computing 102, 427–449 (2020). https://doi.org/10.1007/s00607-019-00778-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00607-019-00778-5

Keywords

Mathematics Subject Classification

Navigation