Degree Correlations in Directed 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...
متن کاملIntrinsic degree-correlations in static scale-free networks
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-...
متن کاملFractality and degree correlations in scale-free networks
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...
متن کاملDegree-degree correlations in directed networks with heavy-tailed degrees
In network theory, Pearson’s correlation coefficients are most commonly used to measure the degree assortativity of a network. We investigate the behavior of these coefficients in the setting of directed networks with heavy-tailed degree sequences. We prove that for graphs where the inand out-degree sequences satisfy a power law, Pearson’s correlation coefficients converge to a non-negative num...
متن کاملMechanisms for tuning clustering and degree-correlations in directed networks
With complex networks emerging as an effective tool to tackle multidisciplinary problems, models of network generation have gained an importance of their own. These models allow us to extensively analyze the data obtained from real-world networks, study their relevance and corroborate theoretical results. In this work, we introduce methods, based on degree preserving rewiring, that can be used ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PLoS ONE
سال: 2014
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0110121