Most probable degree distribution at fixed structural entropy |
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Authors: | Ginestra Bianconi |
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Institution: | (1) The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy |
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Abstract: | The structural entropy is the entropy of the ensemble of uncorrelated networks with given degree sequence. Here we derive
the most probable degree distribution emerging when we distribute stubs (or half-edges) randomly through the nodes of the
network by keeping fixed the structural entropy. This degree distribution is found to decay as a Poisson distribution when
the entropy is maximized and to have a power-law tail with an exponent γ → 2 when the entropy is minimized.
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Keywords: | Complex networks structural entropy |
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