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Complex Networks by Shlomo Havlin, Reuven Cohen

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9   The structure of networks: the generating function method

9.1 Introduction

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A generalized random network is generally made up of several components. In the random generalized graph model, the structure of the network is determined only by the degree distribution, since no other structure or constraint is imposed on the network. In general, for many degree distributions the network is composed of many separate components, i.e., groups of nodes connected internally, but disconnected from other components. In each such component there exists a path between any two nodes, but there is no path between nodes in different components. When there is ...

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