On the Mean Distance in Scale Free Graphs
نویسندگان
چکیده
We consider a graph, where the nodes have a pre-described degree distribution F , and where nodes are randomly connected in accordance to their degree. Based on a recent result [22], we improve the approximation of the mean distance between two randomly chosen nodes given by Newman et al. [32]. Our new expression for the mean distance involves the expectation of the logarithm of the limit of a super-critical branching process. We compare simulations of the mean distance with the results of Newman et al. and with our new approach.
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