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Degree distribution of complex networks from statistical mechanics principles | | Ginestra Bianconi
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14 Jun 2006 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | | Abstract: | In this paper we provide a theoretical approach to complex networks able to describe the emergence of either scale-free degree distributions or finite-scale degree distributions from statistical mechanics principles. We define an entropy associated to a degree sequence as the logarithm of the number of distinguishable graphs it is possible to draw given the degree sequence. Keeping fixed the total number of nodes and links, we show that the entropy of scale-free distribution is much lower than the entropy associated to regular random graphs. | | Source: | arXiv, cond-mat/0606365 | | Services: | Forum | Review | PDF | Favorites | |
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