The recent high level of interest in weighted complex networks gives rise to a need to
develop new measures and to generalize existing ones to take the weights of links into …

In order to take the weight of connection into consideration and to find a natural
measurement of weight, we have collected papers in Econophysics and constructed a …

We review the main tools which allow for the statistical characterization of weighted
networks. We then present two case studies, the airline connection network and the scientific …

To account for possible distinct functional roles played by different nodes and links in
complex networks, we introduce and analyze a class of weighted scale-free networks. The …

Many empirical networks display an inherent tendency to cluster, ie, to form circles of
connected nodes. This feature is typically measured by the clustering coefficient (CC). The …

Economy, and consequently trade, is a fundamental part of human social organization
which, until now, has not been studied within the network modeling framework. Here we …

The local structure of unweighted networks can be characterized by the number of times a
subgraph appears in the network. The clustering coefficient, reflecting the local configuration …

The connections in many networks are not merely binary entities, either present or not, but
have associated weights that record their strengths relative to one another. Recent studies of …

We construct a connected network of 3.9 million nodes from mobile phone call records,
which can be regarded as a proxy for the underlying human communication network at the …

We develop a statistical theory to characterize correlations in weighted networks. We define
the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted …