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Original scientific paper

Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size

Damir Vukičević
Nenad Trinajstić

Fulltext: english, pdf (81 KB) pages 235-239 downloads: 391* cite
APA 6th Edition
Vukičević, D. & Trinajstić, N. (2005). Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size. Croatica Chemica Acta, 78 (2), 235-239. Retrieved from https://hrcak.srce.hr/17
MLA 8th Edition
Vukičević, Damir and Nenad Trinajstić. "Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size." Croatica Chemica Acta, vol. 78, no. 2, 2005, pp. 235-239. https://hrcak.srce.hr/17. Accessed 29 Sep. 2021.
Chicago 17th Edition
Vukičević, Damir and Nenad Trinajstić. "Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size." Croatica Chemica Acta 78, no. 2 (2005): 235-239. https://hrcak.srce.hr/17
Harvard
Vukičević, D., and Trinajstić, N. (2005). 'Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size', Croatica Chemica Acta, 78(2), pp. 235-239. Available at: https://hrcak.srce.hr/17 (Accessed 29 September 2021)
Vancouver
Vukičević D, Trinajstić N. Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size. Croatica Chemica Acta [Internet]. 2005 [cited 2021 September 29];78(2):235-239. Available from: https://hrcak.srce.hr/17
IEEE
D. Vukičević and N. Trinajstić, "Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size", Croatica Chemica Acta, vol.78, no. 2, pp. 235-239, 2005. [Online]. Available: https://hrcak.srce.hr/17. [Accessed: 29 September 2021]

Abstracts
In the extension of our previous work (Ref. 1), the average values of the Z-indices have been computed for the simple and general graphs of the same size. Three results have been obtained: (i) General graphs have always higher average values of the Z-indices than the corresponding simple graphs, (ii) Replacement of the non-cut-edge of the graph with a loop increases the value of the Z-index, and (iii) The value of the Z-index of a path with a loop attached to its second vertex is higher than or equal to the value of the Z-index of the cycle of the same size.

Keywords
general graphs; Hosoya Z-index; molecular graphs; simple graphs

Hrčak ID: 17

URI
https://hrcak.srce.hr/17

[croatian]

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