Naslov
On the relation between the path numbers ^1Z, ^2Z and the Hosoya Z index

Autori
Plavšić, Dejan ; Šoškić, Milan ; Landeka, Irena ; Gutman, Ivan ; Graovac, Ante

Izvornik
Journal of chemical information and computer sciences (0095-2338) 36 (1996), 6; 1118-1122

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
molecular index ; path number of m-th order ^mZ ; Hosoya index Z ; relation ; QSPR study

Sažetak
The path numbers of the m-th order, ^mZ, of a connected undirected graph are introduced and studied analitically. The definition of the ^1Z and ^2Z indices for acyclic graphs proposed earlier is generalized in order to cover cyclic graphs. The relationships between the path numbers ^1Z and ^2Z and the Hosoya Z index are discussed. It is shown that the path number ^1Z and the Hosoya Z index are closely related graph- theoretical invariants. The information contents of the ^1Z and ^2Z indices are only slightly overlapped, and hence the indices could be used as "independent" predictor variables in structure- property-activity studies.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

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