Vukičević, Damir; Trinajstić, Nenad
(2003)
Modified Zagreb M2 index  Comparison with the Randic connectivity index for benzenoid systems.
Croatica Chemica Acta, 76
(2).
pp. 183187.
ISSN 00111643
Abstract
Two theorems have been derived for benzenoid systems with the following implications: (i) for any arbitrarily large m (e.g., m = 1000000) there is a number n and a set with m benzenoid systems with n vertices so that every pair of them posseses the same Randic connectivity index, but no two graphs exist with the same modified Zagreb M2 index, and (ii) for any arbitrarily large m (e.g., m = 10000000) there is a number n and a set with m benzenoid systems with n vertices so that (a) every pair of graphs posseses a different Randic connectivity index, (b) every pair of graphs has a different modified Zagreb M2 index, and (c) Randic connectivity indices order these graphs in the reverse order with respect to modified Zagreb M2 indices. We have shown with these two theorems that the modified Zagreb M2 index differs fundamentally from the Randic connectivity index.
Item Type: 
Article

Uncontrolled Keywords: 
benzenoid systems; modified Zagreb M2 index; Randic connectivity index; topological indexes; molecularorbitals; graph theory 
Subjects: 
NATURAL SCIENCES > Chemistry 
Divisions: 
Division of Physical Chemistry 
Projects: 
Project title  Project leader  Project code  Project type 

Razvoj i primjena modela u kemiji i bioinformatici  Nenad Trinajstić  0098034  MZOS  Diskretna matematika i primjene  [45724] Dragutin Svrtan  03700000002779  MZOS 

Depositing User: 
Nenad Trinajstić

Date Deposited: 
09 Oct 2013 14:40 
Last Modified: 
06 Feb 2014 13:32 
URI: 
http://fulir.irb.hr/id/eprint/752 
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