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Connections between Classical and Parametric Network Entropies

Matthias Dehmer, Abbe Mowshowitz and Frank Emmert-Streib

PLOS ONE, 2011, vol. 6, issue 1, 1-8

Abstract: This paper explores relationships between classical and parametric measures of graph (or network) complexity. Classical measures are based on vertex decompositions induced by equivalence relations. Parametric measures, on the other hand, are constructed by using information functions to assign probabilities to the vertices. The inequalities established in this paper relating classical and parametric measures lay a foundation for systematic classification of entropy-based measures of graph complexity.

Date: 2011
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0015733

DOI: 10.1371/journal.pone.0015733

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