Calculating the correlation coefficients of graph-theoretical indices
arXiv:math/0608753
Abstract
Using a generating function approach, the correlation coefficients of four different graph-theoretical indices, namely the number of independent vertex subsets, the number of matchings, the number of subtrees and the Wiener index, are asymptotically determined for random rooted ordered trees.
16 pages; for associated Mathematica files, see http://finanz.math.tugraz.at/~wagner/Correlation