Naslov
On the calculation of the path numbers ^1Z, ^2Z and the Hosoya Z index

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

Izvornik
Croatica chemica acta (0011-1643) 70 (1997), 4; 941-954

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

Ključne riječi
path number ^mZ; Hosoya Z index; recursion relation

Sažetak
For acyclic molecules, Randić introduced a family of topological indices, the path numbers ^mZ, m=1,2,..., which are deduced from the Hosoya matrix. The path-number concept was recently extended to molecules containing cycles. Relations between ^1Z, ^2Z and the Hosoya index Z were established. In this work we point out several further relations for the path numbers, valid for both acyclic and cyclic systems. Using them, ^mZ can be calculated recursively, especially in the case m=1 and m=2. One of the conclusions of this study is that, from an algorithmic point of view, it is expedient to evaluate all the indices ^1Z, ^2Z,... simultaneously, and together with the Hosoya index Z.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

POVEZANOST RADA