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Comparison of the Hosoya Z-Indices for Simple and General Graphs of the Same Size
Puni tekst: engleski, pdf (81 KB)
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. Preuzeto s https://hrcak.srce.hr/17
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.
general graphs; Hosoya Z-index; molecular graphs; simple graphs
Hrčak ID: 17
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