hrcak mascot   Srce   HID

Crtice

Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems

Damir Vukičević ; Department of Mathematics, University of Split, HR-21000 Split, Croatia
Nenad Trinajstić ; The Rugjer Bošković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia

Puni tekst: engleski, pdf (215 KB) str. 183-187 preuzimanja: 176* citiraj
APA 6th Edition
Vukičević, D. i Trinajstić, N. (2003). Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems. Croatica Chemica Acta, 76 (2), 183-187. Preuzeto s https://hrcak.srce.hr/103095
MLA 8th Edition
Vukičević, Damir i Nenad Trinajstić. "Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems." Croatica Chemica Acta, vol. 76, br. 2, 2003, str. 183-187. https://hrcak.srce.hr/103095. Citirano 27.02.2021.
Chicago 17th Edition
Vukičević, Damir i Nenad Trinajstić. "Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems." Croatica Chemica Acta 76, br. 2 (2003): 183-187. https://hrcak.srce.hr/103095
Harvard
Vukičević, D., i Trinajstić, N. (2003). 'Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems', Croatica Chemica Acta, 76(2), str. 183-187. Preuzeto s: https://hrcak.srce.hr/103095 (Datum pristupa: 27.02.2021.)
Vancouver
Vukičević D, Trinajstić N. Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems. Croatica Chemica Acta [Internet]. 2003 [pristupljeno 27.02.2021.];76(2):183-187. Dostupno na: https://hrcak.srce.hr/103095
IEEE
D. Vukičević i N. Trinajstić, "Modified Zagreb M2 Index – Comparison with the Randić Connectivity Index for Benzenoid Systems", Croatica Chemica Acta, vol.76, br. 2, str. 183-187, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/103095. [Citirano: 27.02.2021.]

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 Randić 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 Randić connectivity index, (b) every pair of graphs has a different modified Zagreb M2 index, and (c) Randić 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 Randić connectivity index.

Ključne riječi
benzenoid systems; modified Zagreb M2 index; Randić connectivity index

Hrčak ID: 103095

URI
https://hrcak.srce.hr/103095

Posjeta: 330 *