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arXiv · 0912.4450

Quantifying structure in networks

Eckehard Olbrich·Thomas Kahle·Nils Bertschinger·Nihat Ay·Juergen Jost
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Abstract

We investigate exponential families of random graph distributions as a framework for systematic quantification of structure in networks. In this paper we restrict ourselves to undirected unlabeled graphs. For these graphs, the counts of subgraphs with no more than k links are a sufficient statistics for the exponential families of graphs with interactions between at most k links. In this framework we investigate the dependencies between several observables commonly used to quantify structure in networks, such as the degree distribution, cluster and assortativity coefficients.

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cond-mat.dis-nn

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Eckehard Olbrich, Thomas Kahle, Nils Bertschinger, Nihat Ay, Juergen Jost. 2009-12-22. Quantifying structure in networks. https://doi.org/10.1140/epjb/e2010-00209-0

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