Assortativity measures for weighted and directed networks
Abstract
Assortativity measures the tendency of a vertex in a network being connected by other vertexes with respect to some vertex-specific features. Classical assortativity coefficients are defined for unweighted and undirected networks with respect to vertex degree. We propose a class of assortativity coefficients that capture the assortative characteristics and structure of weighted and directed networks more precisely. The vertex-to-vertex strength correlation is used as an example, but the proposed measure can be applied to any pair of vertex-specific features. The effectiveness of the proposed measure is assessed through extensive simulations based on prevalent random network models in comparison with existing assortativity measures. In application World Input-Ouput Networks,the new measures reveal interesting insights that would not be obtained by using existing ones. An implementation is publicly available in a R package "wdnet".
Cite
@article{arxiv.2101.05389,
title = {Assortativity measures for weighted and directed networks},
author = {Yelie Yuan and Jun Yan and Panpan Zhang},
journal= {arXiv preprint arXiv:2101.05389},
year = {2021}
}