Abstract
Influence Maximization (IM) has been extensively studied, which is to select a set of k seed users from a social network to maximize the expected number of influenced users in the social network. There are many approaches proposed under a cascade model to find such a single set of k seed users. Such a set being computed may not be unique, as it is most likely that there exist more than one set, \(S_1, S_2, \cdots \), each of them leads to the same IM, given a social network exhibits rich symmetry as reported in the literature. In this paper, first, we study how to select a set of k seed users from a set of seed \(k'~(\ge k)\) users which can be either a union of sets of seed users, \(\mathbb {S} = \bigcup _i S_i\), where \(S_i\) is a set of k seed users, or simply a set of seed users of size \(k'~(\ge k)\) being computed, based on cooperative game using Shapley value. Second, we develope a visualization system to explore the process of influence spreading from topological perspective, as IM only gives the expected number of influenced users without much information on how influence spreads in a large social network. We conduct experimental studies to confirm the effectiveness of the seed users selected in our approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Banerjee, S., Jenamani, M., Pratihar, D.K.: A survey on influence maximization in a social network. Knowl. Inf. Syst. 62(9), 3417–3455 (2020)
Bian, S., Guo, Q., Wang, S., Yu, J.X.: Efficient algorithms for budgeted influence maximization on massive social networks. Proc. VLDB Endow. 13(9), 1498–1510 (2020)
Chen, S., Fan, J., Li, G., Feng, J., Tan, K., Tang, J.: Online topic-aware influence maximization. Proc. VLDB Endow. 8(6), 666–677 (2015)
Clark, A., Poovendran, R.: Maximizing influence in competitive environments: a game-theoretic approach. In: Baras, J.S., Katz, J., Altman, E. (eds.) GameSec 2011. LNCS, vol. 7037, pp. 151–162. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-25280-8_13
Franz, M., Lopes, C.T., Huck, G., Dong, Y., Sümer, S.O., Bader, G.D.: Cytoscape.js: a graph theory library for visualisation and analysis. Bioinformatics 32(2), 309–311 (2016)
Gaskó, N., Suciu, M.A., Képes, T., Lung, R.I.: Shapley value and extremal optimization for the network influence maximization problem. In: 2019 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), pp. 182–189. IEEE (2019)
Goldenberg, J., Libai, B.: Using complex systems analysis to advance marketing theory development: modeling heterogeneity effects on new product growth through stochastic cellular automata. Acad. Market. Sci. Rev 9, 01 (2001)
Goldenberg, J., Libai, B., Muller, E.: Talk of the network: a complex systems look at the underlying process of word-of-mouth. Mark. Lett. 12, 211–223 (2001)
Goyal, A., Lu, W., Lakshmanan, L.V.: CELF++: optimizing the greedy algorithm for influence maximization in social networks. In: Proceedings of the 20th International Conference Companion on World Wide Web, WWW 2011, New York, NY, USA, pp. 47–48. Association for Computing Machinery (2011)
Granovetter, M.: Threshold models of collective behavior. Am. J. Sociol. 83(6), 1420–1443 (1978)
Guo, Q., Wang, S., Wei, Z., Chen, M.: Influence maximization revisited: efficient reverse reachable set generation with bound tightened. In: Proceedings of the 2020 ACM SIGMOD International Conference on Management of Data, pp. 2167–2181 (2020)
Guo, Q., Wang, S., Wei, Z., Lin, W., Tang, J.: Influence maximization revisited: efficient sampling with bound tightened. ACM Trans. Database Syst. 47(3), 12:1–12:45 (2022)
He, X., Kempe, D.: Robust influence maximization. In: Krishnapuram, B., Shah, M., Smola, A.J., Aggarwal, C.C., Shen, D., Rastogi, R. (eds.) Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, CA, USA, 13–17 August 2016, pp. 885–894. ACM (2016)
Huang, S., Lin, W., Bao, Z., Sun, J.: Influence maximization in real-world closed social networks. Proc. VLDB Endow. 16(2), 180–192 (2022)
Jacomy, M., Venturini, T., Heymann, S., Bastian, M.: ForceAtlas2, a continuous graph layout algorithm for handy network visualization designed for the Gephi software. PLoS ONE 9(6), e98679 (2014)
Kempe, D., Kleinberg, J., Tardos, É.: 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 (2003)
Leskovec, J., Krause, A., Guestrin, C., Faloutsos, C., VanBriesen, J., Glance, N.: Cost-effective outbreak detection in networks. In: Proceedings of the 13th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 420–429 (2007)
Li, G., Chen, S., Feng, J., Tan, K., Li, W.: Efficient location-aware influence maximization. In: Dyreson, C.E., Li, F., Özsu, M.T. (eds.) International Conference on Management of Data, SIGMOD 2014, Snowbird, UT, USA, 22–27 June 2014, pp. 87–98. ACM (2014)
Li, J., Cai, T., Mian, A., Li, R., Sellis, T., Yu, J. X.: Holistic influence maximization for targeted advertisements in spatial social networks. In: 34th IEEE International Conference on Data Engineering, ICDE 2018, Paris, France, April 16–19, 2018, pp. 1340–1343. IEEE Computer Society (2018)
Li, Y., Fan, J., Wang, Y., Tan, K.: Influence maximization on social graphs: a survey. IEEE Trans. Knowl. Data Eng. 30(10), 1852–1872 (2018)
Lin, M., Li, W., Lu, S.: Balanced influence maximization in attributed social network based on sampling. In: Caverlee, J., Hu, X.B., Lalmas, M., Wang, W. (eds.) WSDM 2020: The Thirteenth ACM International Conference on Web Search and Data Mining, Houston, TX, USA, 3–7 February 2020, pp. 375–383. ACM (2020)
Lu, C., Yu, J.X., Zhang, Z., Cheng, H.: Graph ISO/auto-morphism: a divide- &-conquer approach. In: Proceedings of the 2021 International Conference on Management of Data, SIGMOD 2021, New York, NY, USA, pp. 1195–1207. Association for Computing Machinery (2021)
MacArthur, B.D., Sánchez-GarcÃa, R.J., Anderson, J.W.: On automorphism groups of networks. arXiv preprint arXiv:0705.3215 (2007)
Michel, G., Marc, R.: An axiomatic approach to the concept of interaction among players in cooperative games. Int. J. Game Theory (1999)
Narayanam, R., Narahari, Y.: A shapley value-based approach to discover influential nodes in social networks. IEEE Trans. Autom. Sci. Eng. 8(1), 130–147 (2011)
Nguyen, H.T., Thai, M.T., Dinh, T.N.: Stop-and-stare: optimal sampling algorithms for viral marketing in billion-scale networks. In: Proceedings of the 2016 International Conference on Management of Data, pp. 695–710 (2016)
Ohsaka, N., Akiba, T., Yoshida, Y., Kawarabayashi, K.-I.: Fast and accurate influence maximization on large networks with pruned Monte-Carlo simulations. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 28 (2014)
Shapley, L.S.: A value for n-person games. Contrib. Theory Games 28, 307–317 (1953)
Tang, F., Liu, Q., Zhu, H., Chen, E., Zhu, F.: Diversified social influence maximization. In: Wu, X., Ester, M., Xu, G. (eds.) 2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, ASONAM 2014, Beijing, China, 17–20 August 2014, pp. 455–459. IEEE Computer Society (2014)
Tsaras, D., Trimponias, G., Ntaflos, L., Papadias, D.: Collective influence maximization for multiple competing products with an awareness-to-influence model. Proc. VLDB Endow. 14(7), 1124–1136 (2021)
Wang, X., Zhang, Y., Zhang, W., Lin, X.: Distance-aware influence maximization in geo-social network. In: 32nd IEEE International Conference on Data Engineering, ICDE 2016, Helsinki, Finland, 16–20 May 2016, pp. 1–12. IEEE Computer Society (2016)
Weber, R.J.: Probabilistic values for games. In: The Shapley Value. Essays in Honor of Lloyd S. Shapley, pp. 307–317 (1953)
Zhang, K., Zhou, J., Tao, D., Karras, P., Li, Q., Xiong, H.: Geodemographic influence maximization. In: Gupta, R., Liu, Y., Tang, J., Prakash, B.A. (eds.) KDD 2020: The 26th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, Virtual Event, CA, USA, 23–27 August 2020, pp. 2764–2774. ACM (2020)
Zhang, Y., Zhang, Y.: Top-k influential nodes in social networks: a game perspective. In: Proceedings of the 40th International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 1029–1032 (2017)
Acknowledgement
This work is supported by the Research Grants Council of Hong Kong, No. 14202919 and No. 14205520.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Geng, Y., Wang, K., Liu, Z., Yu, M., Yu, J.X. (2024). Influence Maximization Revisited. In: Bao, Z., Borovica-Gajic, R., Qiu, R., Choudhury, F., Yang, Z. (eds) Databases Theory and Applications. ADC 2023. Lecture Notes in Computer Science, vol 14386. Springer, Cham. https://doi.org/10.1007/978-3-031-47843-7_25
Download citation
DOI: https://doi.org/10.1007/978-3-031-47843-7_25
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-47842-0
Online ISBN: 978-3-031-47843-7
eBook Packages: Computer ScienceComputer Science (R0)