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Harmonic CentralityDefinition
The denormalized reciprocal of the harmonic mean of all distances (even ∞).
Another extension to networks with disconnected components has been proposed by Opsahl (2010) and later studied by Boldi and Vigna (2014) in general directed graphs: ![]() The harmonic mean H of the positive real numbers x1, x2, ..., xn > 0 is defined to be: See Information Centrality SoftwareReferences
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See Holme & Ghoshal, Phys. Rev. Lett. 96, 098701 (2006), Eq. (1) for an earlier reference. (But I don't think it is such a great measure. It is an arbitrary combination of two aspects of networks—the component size distribution and the distances within the components—that rather should be kept separate.) |
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Add Replay | written March 24, 2018, 12:14 pm by Petter Holme |