Modeling real spatial networks

Abstract

We have studied transportation network, namely a road network of the Moscow region and airline network of the Russian Federation. We have constructed corresponding networks and studied degree distribution and length distribution for these networks, as well as the dependences on the average clustering coefficients and the nearest neighbours average degree as a function of the vertex degree. In conclusion we discuss degree and length distributions in the framework of the nonextensive statistics, using the maximum entropy approach and the model with additive and multiplicative noise. We present a procedure of fitting the results of the data processing to the q-type distribution which allows the fractal dimension definition of the networks under study.