Delta Number, D_Δ, of Dendrimers

摘要

General formulas for the calculation of a novel Wiener-type num- ber, D_Δ1 in regular dendrimers are proposed. They are derived on the basis of he novel matrix D_Δ,~1 by using progressive vertex de- grees and orbit numbers~2 as parameters. Relations of D_Δ with the well known Wiener, ~3 W, and hyper-Wiener,~4 WW, numbers, and a new relation (based on the D_p matrix~1) for estimating WW in den- drimers are also given.