Maximum entropy principle for Kaniadakis statistics and networks

In this Letter we investigate a connection between Kaniadakis power-law statistics and networks. By following the maximum entropy principle, we maximize the Kaniadakis entropy and derive the optimal degree distribution of complex networks. We show that the degree distribution follows P(k)=P0expκ(−k/...

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Bibliographic Details
Published in:Physics letters. A 2013-05, Vol.377 (12), p.842-846
Main Authors: Macedo-Filho, A., Moreira, D.A., Silva, R., da Silva, Luciano R.
Format: Article
Language:English
Subjects:
Degree distribution
Generalized statistics
Networks
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Summary:In this Letter we investigate a connection between Kaniadakis power-law statistics and networks. By following the maximum entropy principle, we maximize the Kaniadakis entropy and derive the optimal degree distribution of complex networks. We show that the degree distribution follows P(k)=P0expκ(−k/ηκ) with expκ(x)=(1+κ2x2+κx)1/κ, and |κ|
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2013.01.032