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Network motifs : mean and variance for the count

Abstract : Network motifs are at the core of modern studies on biological networks, trying to encompass global features such as all-world or scale-free properties. Detection of significant motifs may be based on two different approaches: either a comparison with randomized networks (requiring the simulation of a large number of networks), or the comparison with expected quantities in some well-chosen probabilistic model. This second approach has been investigated here. We first provide a simple and efficient probabilistic model for the distribution of the edges in undirected networks. Then,we give exact formulas for the expectation and the variance of the number of occurrences of a motif. Generalization to directed networks is discussed in the conclusion.
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  • HAL Id : hal-02655236, version 1
  • PRODINRA : 50482


C. Matias, Sophie S. Schbath, Etienne Birmelé, Jean-Jacques J.-J. Daudin, Stephane S. Robin. Network motifs : mean and variance for the count. REVSTAT - Statistical Journal, Instituto Nacional de Estatistica, 2006, 4 (1), pp.31-51. ⟨hal-02655236⟩



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