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Influence and Profit

  • Reference work entry
  • First Online:
Encyclopedia of Algorithms

  • 57 Accesses

Years and Authors of Summarized Original Work

  • 2003; Kempe, Kleinberg, Tardos

  • 2013; Zhu, Lu, Bi, Wu, Jiang, Li

Problem Definition

A social network is a graph of relationships and interactions within a set of individuals. Information can spread within a social network by “word-of-mouth” effects. In other words, information diffuses from individuals to individuals in a social network through the connections between them, and if some information is spread by some initial individuals, many individuals may believe in it due to information diffusion. A social network is denoted as G=(V, E, w), where V is a set of vertexes with size n, \(E \subseteq V \times V\) is a set of edges with size m, and \(w : E \rightarrow [0,1]\) is the set of all w(u, v) which is the weight of edge (u, v).

Independent Cascade (IC) and Linear Threshold (LT) Models

The IC and LT models [1] are two basic models of influence diffusion in social networks, and there are two vertex stages: inactive and active. The...

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Recommended Reading

  1. Kempe D, Kleinberg J, Tardos É (2003) Maximizing the spread of influence through a social network. In: ACM KDD ’03, Washington, DC, pp 137–146

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  2. Zhu Y, Lu Z, Bi Y, Wu W, Jiang Y, Li D (2013) Influene and profit: two sizes of the coin. In: IEEE ICDM ’13, Dallas, 1301–1306

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Author information

Authors and Affiliations

  1. Department of Computer Science, California State University, Los Angeles, CA, USA

    Yuqing Zhu

  2. Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA

    Yuqing Zhu

  3. College of Computer Science and Technology, Taiyuan University of Technology, Taiyuan, Shanxi Province, China

    Weili Wu

  4. Department of Computer Science, California State University, Los Angeles, CA, USA

    Weili Wu

  5. Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA

    Weili Wu

Authors
  1. Yuqing Zhu
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  2. Weili Wu
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Corresponding author

Correspondence to Yuqing Zhu .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA

    Ming-Yang Kao

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© 2016 Springer Science+Business Media New York

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Zhu, Y., Wu, W. (2016). Influence and Profit. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_624

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