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Network Transitivity and Matrix Models

Z. Burda·J. Jurkiewicz·A. Krzywicki
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Abstract

This paper is a step towards a systematic theory of the transitivity (clustering) phenomenon in random networks. A static framework is used, with adjacency matrix playing the role of the dynamical variable. Hence, our model is a matrix model, where matrices are random, but their elements take values 0 and 1 only. Confusion present in some papers where earlier attempts to incorporate transitivity in a similar framework have been made is hopefully dissipated. Inspired by more conventional matrix models, new analytic techniques to develop a static model with non-trivial clustering are introduced. Computer simulations complete the analytic discussion.

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Z. Burda, J. Jurkiewicz, A. Krzywicki. 2003-10-16. Network Transitivity and Matrix Models. https://doi.org/10.1103/physreve.69.026106

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