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arXiv · 0909.2764

Long-range disassortative correlations in generic random trees

Piotr Bialas·Andrzej K. Oleś
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Abstract

We explicitly calculate the distance dependent correlation functions in a maximal entropy ensemble of random trees. We show that correlations remain disassortative at all distances and vanish only as a second inverse power of the distance. We discuss in detail the example of scale-free trees where the diverging second moment of the degree distribution leads to some interesting phenomena.

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BibTeXRIS

Piotr Bialas, Andrzej K. Oleś. 2009-09-15. Long-range disassortative correlations in generic random trees. https://doi.org/10.1103/physreve.81.041136

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