Modified Zagreb M-2 index - comparison with the randic connectivity index for benzenoid systems (CROSBI ID 101170)
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Vukičević, Damir ; Trinajstić, Nenad
engleski
Modified Zagreb M-2 index - comparison with the randic connectivity index for benzenoid systems
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.
benzenoid systems; modified zagreb m-2 index; Randic connectivity index
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