We propose a natural generalization of the well-known clustering coefficient for triples C(3) to any number of nodes. We give analytic formulae for the special cases of three, four, and five nodes and show, using data on U.S. airline networks, that they have very fast runtime performance. We discuss some theoretical properties and inherent limitations of the new measure, and use it to provide insight into changes in network structure over time. * We are grateful to Chantal Roucolle and Tatiana Seregina for helpful comments and suggestions.
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