Modified Zagreb M-2 index - Comparison with the Randic connectivity index for benzenoid systems

Vukičević, Damir; Trinajstić, Nenad (2003) Modified Zagreb M-2 index - Comparison with the Randic connectivity index for benzenoid systems. Croatica Chemica Acta, 76 (2). pp. 183-187. ISSN 0011-1643

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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 M-2 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 M-2 index; Randic connectivity index; topological indexes; molecular-orbitals; 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 037-0000000-2779 MZOS
Depositing User:	Nenad Trinajstić
Date Deposited:	09 Oct 2013 14:40
URI:	http://fulir.irb.hr/id/eprint/752

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