Abstract
Networks describe a variety of interacting complex systems in social science,
biology and information technology. Usually the nodes of real networks are not
only identified by their connections but also by some other characteristics.
Examples of characteristics of nodes can be age, gender or nationality of a
person in a social network, the abundance of proteins in the cell taking part
to a protein-interaction networks or the geographical position of airports that
are connected by directed flights. Integrating the information on the
connections of each node with the information about its characteristics is
crucial for discriminating between essential and negligible characteristics of
nodes for the structure of the network. In this paper we propose a general
indicator Theta, based on entropy measures, to quantify the dependence of
network's structure on a given set of features. We apply this method to social
networks of friendships in US schools, to the protein-interaction network of
Saccharomyces cerevisiae and to the US airport network, showing that the
proposed measure provides complementary information with respect to other known
measures.
Comment: (7 pages, 6 figures)
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