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arXiv · 2108.09248

An entropy-based, scale-dependent centrality

L. R. Schwengber·S. D. Prado·S. R. Dahmen
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Abstract

In this article we introduce an entropy-based, scale-dependent centrality that is evaluated as the Shannon entropy of the distribution at time t of a continuous-time random walk. It ranks nodes as a function of the time t, which acts as a parameter and defines the scale of the network. It is able capture well-known centralities such as degree, eigenvector and closeness depending on the range of t. We compare it with the broad class of total $f$-communicability centralities, of which both Katz centrality and total communicability are particular cases.

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L. R. Schwengber, S. D. Prado, S. R. Dahmen. 2021-08-20. An entropy-based, scale-dependent centrality. https://arxiv.org/abs/2108.09248

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