Pair correlations in scale-free networks
نویسندگان
چکیده
منابع مشابه
Degree Correlations in Directed Scale-Free Networks
Scale-free networks, in which the distribution of the degrees obeys a power-law, are ubiquitous in the study of complex systems. One basic network property that relates to the structure of the links found is the degree assortativity, which is a measure of the correlation between the degrees of the nodes at the end of the links. Degree correlations are known to affect both the structure of a net...
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We calculate the mean neighboring degree function k̄nn(k) and the mean clustering function C(k) of vertices with degree k as a function of k in finite scale-free random networks through the static model. While both are independent of k when the degree exponent γ ≥ 3, they show the crossover behavior for 2 < γ < 3 from k-independent behavior for small k to k-dependent behavior for large k. The k-...
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Fractal scale-free networks are empirically known to exhibit disassortative degree mixing. It is, however, not obvious whether a negative degree correlation between nearest neighbor nodes makes a scale-free network fractal. Here we examine the possibility that disassortativity in complex networks is the origin of fractality. To this end, maximally disassortative (MD) networks are prepared by re...
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We study a recently introduced class of scale-free networks showing a high clustering coefficient and nontrivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the model. We solve exactly the case of low average connectivity, providing also exact expressions for the clustering and degree correlation functions. The model ...
متن کامل. Characterizing the intrinsic correlations of scale-free networks
Very often, when studying topological or dynamical properties of random scale-free networks, it is tacitly assumed that degree-degree correlations are not present. However, simple constraints, such as the absence of multiple edges and self-loops, can give rise to intrinsic correlations in these structures. In the same way that Fermionic correlations in thermodynamic systems are relevant only in...
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ژورنال
عنوان ژورنال: Chinese Physics
سال: 2004
ISSN: 1009-1963,1741-4199
DOI: 10.1088/1009-1963/13/3/001