Abstract
In this chapter, we focus on perhaps the two most prevalent diffusion models in computer science—the independent cascade and linear threshold models. We describe different properties of these models and how these properties affect solving problems such as influence maximization and influence spread. We describe approaches to address influence maximization problem in independent cascade model and linear threshold model that rely on the maximization of submodular functions—as well as extensions to these approaches for larger datasets.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kempe, David and Kleinberg, Jon and Tardos. Maximizing the spread of influence through a social network. (2003) ACM 137–146.
Nemhauser, George L and Wolsey, Laurence A and Fisher, Marshall L. An analysis of approximations for maximizing submodular set functions. (1978) 14(1) 265–294.
Mossel, Elchanan and Roch, Sebastien. On the submodularity of influence in social networks. (2007) ACM 128–134.
Goyal, Amit and Lu, Wei and Lakshmanan, Laks VS. Simpath: An efficient algorithm for influence maximization under the linear threshold model.(2011) Data Mining (ICDM), 2011 IEEE 11th International Conference, 211–220.
Chen, Wei and Wang, Chi and Wang, Yajun. Scalable influence maximization for prevalent viral marketing in large-scale social networks. (2010) Proceedings of the 16th ACM SIGKDD international conference on Knowledge discovery and data mining, 1029–1038.
Shakarian, Paulo and Salmento, Joseph and Pulleyblank, William and Bertetto, John. Reducing gang violence through network influence based targeting of social programs. (2014) 20th ACM SIGKDD international conference on Knowledge discovery and data mining, 1829–1836
Lu, Wei and Lakshmanan, Laks VS. Profit maximization over social networks. (2012) arXiv preprint arXiv:1210.4211
Minoux, Michel. Accelerated greedy algorithms for maximizing submodular set functions. (1978), Optimization Techniques 234–243.
Wang, Chi and Chen, Wei and Wang, Yajun. Scalable influence maximization for independent cascade model in large-scale social networks (2012) Data Mining and Knowledge Discovery. 545–576.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 The Author(s)
About this chapter
Cite this chapter
Shakarian, P., Bhatnagar, A., Aleali, A., Shaabani, E., Guo, R. (2015). The Independent Cascade and Linear Threshold Models. In: Diffusion in Social Networks. SpringerBriefs in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-23105-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-23105-1_4
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23104-4
Online ISBN: 978-3-319-23105-1
eBook Packages: Computer ScienceComputer Science (R0)