Naslov
Modified Zagreb M-2 index - comparison with the randic connectivity index for benzenoid systems

Autori
Vukičević, Damir ; Trinajstić, Nenad

Izvornik
Croatica chemica acta (0011-1643) 76 (2003), 2; 183-187

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
benzenoid systems; modified zagreb m-2 index; Randic connectivity index

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija

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