S. Klavzar et I. Gutman, A COMPARISON OF THE SCHULTZ MOLECULAR TOPOLOGICAL INDEX WITH THE WIENER INDEX, Journal of chemical information and computer sciences, 36(5), 1996, pp. 1001-1003
Citations number
16
Categorie Soggetti
Information Science & Library Science","Computer Application, Chemistry & Engineering","Computer Science Interdisciplinary Applications",Chemistry,"Computer Science Information Systems
The Schultz molecular topological index (MTI) is compared with the Wie
ner index (W) of a molecular graph. It is shown that 2v(min)W < MTI le
ss than or equal to 4v(max)W holds for any (connected) graph Gamma, wi
th v(min) and v(max) denoting the smallest and the largest valency, re
spectively, of the vertices of Gamma. For molecular graphs these bound
s can be further improved. For instance, for benzenoid systems we have
the following: 4W < MTI < 6.93W. This implies that W and MTI are line
arly correlated not only in the case of acyclic molecules (which is a
previously known result) bur also in the case of molecules with arbitr
arily many cycles.