Exploring the directed h-degree in directed weighted networks

Most networks in information science appear as weighted networks, while many of them (e.g. author citation networks, web link networks and knowledge flow networks) are directed networks. Based on the definition of the h-degree, the directed h-degree is introduced for measuring both weighted networks and directed networks. After analyzing the properties and derived measures of the directed h-degree an actual application of LIS journals citation network is worked out.

► The directed h-degree and derived quantities are introduced for characterizing directed weighted networks.
► Beyond the original h-degree, the h-difference present a potential perspective which reflects the difference of nodes by the different or inverse directions of their links.
► The framework of h-degree and directed h-degree is set up, which realized a tool set for metric applications in most real information networks.