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We built a weighted network model of 69 cities based on an express company's real air transportation network by regarding the total number of flights between pairs of cities as the weights of edges. According to the results of empirical study, we found that weighted air transportation network is of the characteristic of small-world and scale-free, we also discussed the network's correlations of betweenness-degree,...
The correlation between shape (measured by the asphericity parameter A) and size (measured by the square end-to-end distance R 2 or the square radius of gyration S 2 ) is investigated using a Monte Carlo technique for linear chains random grown on the three-choice tetrahedral lattice. A positive correlation is found, indicating that a chain conformation of small size is usually more...
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