Degree And Weighted Properties Of The Directed China Railway Network

As well known, many real complex systems are directed and weighted ones. For under-standing the topology structure of the directed China Railway Network (CRN) further, we analyze the degree properties of the directed CRN and propose a new method to measure the weight of station (i.e., the utilized efficiency of station) in CRN according to how CRN works really. Rigorous analysis of the existing CRN data shows that the CRN is an assortative network with scale-free degree distribution in space L. On the other hand, the cumulative distribution of station's relative weight, the cumulative distribution of the shortest path length between stations, and the relationship between relative weight and in-(out-)degree have been studied. Our present work provides a new perspective to define the weight of transport complex network, which will be helpful for studying the dynamics of CRN.