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Original scientific paper

On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index

Ivan Gutman ; Institute for Advanced Studies, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
Dejan Plavšić ; The Ruder Bošković Institute, P.O.B. 1016, HR-10001 Zagreb, The Republic of Croatia
Milan Šoškić ; Department of Chemistry, Faculty of Agriculture, University of Zagreb, HR-10000 Zagreb, The Republic of Croatia
Irena Landeka ; Department of Biochemistry, Faculty of Science, University of Zagreb, HR-10000 Zagreb, The Republic of Croatia
Ante Graovac ; The Ruder Bošković Institute, P.O.B. 1016, HR-10001 Zagreb, The Republic of Croatia

Fulltext: english, pdf (13 MB) pages 941-954 downloads: 187* cite
APA 6th Edition
Gutman, I., Plavšić, D., Šoškić, M., Landeka, I. & Graovac, A. (1997). On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index. Croatica Chemica Acta, 70 (4), 941-954. Retrieved from https://hrcak.srce.hr/135664
MLA 8th Edition
Gutman, Ivan, et al. "On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index." Croatica Chemica Acta, vol. 70, no. 4, 1997, pp. 941-954. https://hrcak.srce.hr/135664. Accessed 2 Dec. 2020.
Chicago 17th Edition
Gutman, Ivan, Dejan Plavšić, Milan Šoškić, Irena Landeka and Ante Graovac. "On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index." Croatica Chemica Acta 70, no. 4 (1997): 941-954. https://hrcak.srce.hr/135664
Harvard
Gutman, I., et al. (1997). 'On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index', Croatica Chemica Acta, 70(4), pp. 941-954. Available at: https://hrcak.srce.hr/135664 (Accessed 02 December 2020)
Vancouver
Gutman I, Plavšić D, Šoškić M, Landeka I, Graovac A. On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index. Croatica Chemica Acta [Internet]. 1997 [cited 2020 December 02];70(4):941-954. Available from: https://hrcak.srce.hr/135664
IEEE
I. Gutman, D. Plavšić, M. Šoškić, I. Landeka and A. Graovac, "On the Calculation of the Path Numbers 1Z, 2Z and the Hosoya Z Index", Croatica Chemica Acta, vol.70, no. 4, pp. 941-954, 1997. [Online]. Available: https://hrcak.srce.hr/135664. [Accessed: 02 December 2020]

Abstracts
For acyclic molecules, Ranđić4 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 lZ, 2Z and the Hosoya index Z were established.6 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.

Hrčak ID: 135664

URI
https://hrcak.srce.hr/135664

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