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Structural importance and evolution: an application to financial transaction networks

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  • Seabrook, Isobel
  • Barucca, Paolo
  • Caccioli, Fabio

Abstract

A fundamental problem in the study of networks is the identification of important nodes. This is typically achieved using centrality metrics, which rank nodes in terms of their position in the network. This approach works well for static networks, that do not change over time, but does not consider the dynamics of the network. Here we propose instead to measure the importance of a node based on how much a change to its strength will impact the global structure of the network, which we measure in terms of the spectrum of its adjacency matrix. We apply our method to the identification of important nodes in equity transaction networks and show that, while it can still be computed from a static network, our measure is a good predictor of nodes subsequently transacting. This implies that static representations of temporal networks can contain information about their dynamics.

Suggested Citation

  • Seabrook, Isobel & Barucca, Paolo & Caccioli, Fabio, 2022. "Structural importance and evolution: an application to financial transaction networks," LSE Research Online Documents on Economics 117130, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:117130
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    File URL: http://eprints.lse.ac.uk/117130/
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    References listed on IDEAS

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    More about this item

    Keywords

    node predictability; spectral perturbation; temporal network;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • G00 - Financial Economics - - General - - - General

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