Long-range disassortative correlations in generic random trees

Details Long-range disassortative correlations in generic random trees Long-range disassortative correlations in generic random trees

2009-09-15

arxiv.org/abs/0909.2764v3

P. Bialas and A. K. Oles, Phys. Rev. E 81, 041136 (2010).

Physics

Condensed Matter

Statistical Mechanics

Revised according to referee comments; 7 pages and 7 figures.

Scientific paper

10.1103/PhysRevE.81.041136

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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