Mean Wiener numbers and other mean extensions for alkane trees
The "Wiener number" (the sum over intersite graph distances of a structure) as averaged over all alkane structural isomers of a fixed number N of carbon atoms is considered. This and several other measures of average graphical "extension" of N-site alkanes are computed for N up to 90 (where there are over 10(35) such isomers). Fits are then made for several surmised or derived asymptotic forms, and a heuristic argument is made relating these results to geometric extensions of a random mix of (N-site) alkanes.
Bytautas
L
Texas A&M University at Galveston 77551-1675, USA.
Klein
DJ