Reciprocity of networks with degree correlations and arbitrary degree sequences
نویسندگان
چکیده
منابع مشابه
On degree-degree correlations in multilayer networks
We propose a generalization of the concept of assortativity based on the tensorial representation of multilayer networks, covering the definitions given in terms of Pearson and Spearman coefficients. Our approach can also be applied to weighted networks and provides information about correlations considering pairs of layers. By analyzing the multilayer representation of the airport transportati...
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 کاملGenerating random networks with given degree-degree correlations and degree-dependent clustering.
Random networks are widely used to model complex networks and research their properties. In order to get a good approximation of complex networks encountered in various disciplines of science, the ability to tune various statistical properties of random networks is very important. In this Brief Report we present an algorithm which is able to construct arbitrarily degree-degree correlated networ...
متن کاملDegree Correlations and Motifs in Technological Networks
Recent network research has sought to characterize complex systems with a number of statistical metrics, such as power law exponent (if any), clustering coefficient, community behavior, and degree correlation. A larger goal of such research is to obtain insight into the systems’ functions by means of these and similar analyses. In this paper we examine network models of mechanical assemblies. S...
متن کاملDegree 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 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: Physical Review E
سال: 2008
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.77.016106