Hierarchies occur widely in evolving self-organizing ecological, biological, technological, and social networks, but detecting and comparing hierarchies is difficult. Here we present a metric and technique to quantitatively assess the extent to which self-organizing directed networks exhibit a...

Many products are manufactured in networks of firms linked by transactions, but comparatively little is known about how or why such transaction networks differ. This paper investigates the transaction networks of two large sectors in Japan at a single point in time. In characterizing these...