Long-range disassortative correlations in generic random trees
arXiv:0909.2764 · doi:10.1103/PhysRevE.81.041136
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.
Revised according to referee comments; 7 pages and 7 figures.