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Comparison of the Hosoya Z-indices for simple and general graphs of the same size

Vukičević, Damir; Trinajstić, Nenad (2005) Comparison of the Hosoya Z-indices for simple and general graphs of the same size. Croatica Chemica Acta, 78 (2). pp. 235-239. ISSN 0011-1643

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: general graphs; Hosoya Z-index; molecular graphs; simple graphs
Subjects: NATURAL SCIENCES > Chemistry
Divisions: Division of Physical Chemistry
Projects:
Project titleProject leaderProject codeProject type
Razvoj i primjena modela u kemiji i bioinformaticiNenad Trinajstić0098034MZOS
Diskretna matematika i primjene[45724] Dragutin Svrtan037-0000000-2779MZOS
Depositing User: Nenad Trinajstić
Date Deposited: 09 Oct 2013 13:57
Last Modified: 06 Feb 2014 12:55
URI: http://fulir.irb.hr/id/eprint/748

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