Weighted complex networks in urban public transportation: Modeling and testing

Using the methods of complex networks in statistical physics, some transportation systems have been investigated. We constructed the weighted bus line network and the weighted bus station network respectively, for the city Hohhot. Dense networks and linear distributions are obtained, which are relatively rare in previous transportation networks. The test of goodness of fit and the likelihood ratio test are mainly used when analyzing the degree distribution. In the bus line network, the cumulative degree distribution and the cumulative strength distribution are linear. In the bus station network, the cumulative degree distribution and the cumulative strength distribution are exponential distributions. These two transportation networks exhibit the small world phenomenon and the robustness to the random attacks. Large average degree is observed, which indicates that the bus stops are densely distributed. Large clustering coefficient is observed, which implies that the bus routes overlap more frequently. In addition, we observed small average shortest path length, which means that citizens can reach the destination with less transferring.