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DynamicScore: A Novel Metric for Quantifying Graph Dynamics

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Complex Networks & Their Applications XII (COMPLEX NETWORKS 2023)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1142))

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Abstract

This study introduces a new metric called “DynamicScore” to evaluate the dynamics of graphs. It can be applied to both vertices and edges. Unlike traditional metrics, DynamicScore not only measures changes in the number of vertices or edges between consecutive time steps, but also takes into account the composition of these sets. To illustrate the possible contributions of this metric, we calculate it for increasing networks of preferential attachment (Barabási-Albert model) and Edge-Markovian graphs. The results improve our understanding of the dynamics inherent in these generated evolving graphs.

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Notes

  1. 1.

    In [3], this metric was referred to as ‘nervousness,’ a translation of a French term that could be misleading in English.

  2. 2.

    there are \(n(n-1)/2\) such edges.

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Authors and Affiliations

  1. LITIS Lab, Université Le Havre Normandie, Le Havre, France

    Bridonneau Vincent, Guinand Frédéric & Pigné Yoann

Authors
  1. Bridonneau Vincent
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  2. Guinand Frédéric
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  3. Pigné Yoann
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Corresponding author

Correspondence to Guinand Frédéric .

Editor information

Editors and Affiliations

  1. University of Burgundy, Dijon Cedex, France

    Hocine Cherifi

  2. Thomas J. Watson College of Engineering and Applied Science, Binghamton University, Binghamton, NY, USA

    Luis M. Rocha

  3. IUT Lumière - Université Lyon 2, University of Lyon, Bron, France

    Chantal Cherifi

  4. Department of Economics, Yildiz Technical University, Istanbul, Türkiye

    Murat Donduran

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Vincent, B., Frédéric, G., Yoann, P. (2024). DynamicScore: A Novel Metric for Quantifying Graph Dynamics. In: Cherifi, H., Rocha, L.M., Cherifi, C., Donduran, M. (eds) Complex Networks & Their Applications XII. COMPLEX NETWORKS 2023. Studies in Computational Intelligence, vol 1142. Springer, Cham. https://doi.org/10.1007/978-3-031-53499-7_35

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  • DOI: https://doi.org/10.1007/978-3-031-53499-7_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-53498-0

  • Online ISBN: 978-3-031-53499-7

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