Mittag-Leffler functions and their applications in network science
Arrigo, Francesca and Durastante, Fabio (2021) Mittag-Leffler functions and their applications in network science. SIAM Journal on Matrix Analysis and Applications, 42 (4). 1581 - 1601. ISSN 0895-4798 (https://doi.org/10.1137/21M1407276)
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Abstract
We describe a complete theory for walk-based centrality indices in complex networks defined in terms of Mittag–Leffler functions. This overarching theory includes as special cases well known centrality measures like subgraph centrality and Katz centrality. The indices we introduce are parametrized by two numbers; by letting these vary, we show that Mittag–Leffler centralities interpolate between degree and eigenvector centrality, as well as between resolvent-based and exponential-based indices. We further discuss modelling and computational issues, and provide guidelines on parameter 10 selection. The theory is then extended to the case of networks that evolve over time. Numerical experiments on synthetic and real-world networks are provided.
ORCID iDs
Arrigo, Francesca ORCID: https://orcid.org/0000-0001-5473-7284 and Durastante, Fabio;-
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Item type: Article ID code: 77768 Dates: DateEvent18 November 2021Published30 August 2021AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 10 Sep 2021 10:48 Last modified: 21 Sep 2024 00:43 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/77768