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Opinion Dynamics and the Evolution of Social Power in Social Networks pp 15–23Cite as

Preliminaries

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Part of the book series: Springer Theses ((Springer Theses))

Abstract

This chapter introduces the notation to be used in the thesis, and an overview of graph theory. In addition, the DeGroot and Friedkin–Johnsen models are revisited.

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Notes

  1. 1.

    In some literature, and perhaps due to problem context, edge weights are defined so that \(e_{ij}> 0 \Leftrightarrow a_{ij} > 0\). For a given \(a_{ij} > 0\), the direction of the associated edge is therefore reversed from what is detailed in this thesis. The result is that the matrix \(\varvec{A}\) is unchanged, while all edges are drawn in the opposite direction. No issues arise in terms of analysis, other than use of different terminology.

  2. 2.

    See Sect. 2.3.3 for a discussion of how an opinion can be represented as a real number.

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Authors and Affiliations

  1. Research School of Engineering, Australian National University, Canberra, ACT, Australia

    Mengbin Ye

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  1. Mengbin Ye
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Correspondence to Mengbin Ye .

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Ye, M. (2019). Preliminaries. In: Opinion Dynamics and the Evolution of Social Power in Social Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-10606-5_2

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