W. Linert et al., AN ALGORITHM FOR THE COMPUTATION OF THE HYPER-WIENER INDEX FOR THE CHARACTERIZATION AND DISCRIMINATION OF BRANCHED ACYCLIC MOLECULES, Computers & chemistry, 19(4), 1995, pp. 395-401
An algorithm for the computation of the hyper-Wiener index omega of tr
ees (i.e. branched acyclic molecules) is presented. The input for the
algorithm is the list of connections. Multiple linear regression equat
ion was derived between boiling points, omega and the flexibility inde
x p in series of acyclic heptane, octane and nonane isomers. The multi
ple correlation coefficients obtained for the regression equations wer
e equal to r = 0.992 (heptane), r = 0.975 (octane) and r = 0.960 (nona
ne).