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On the Zagreb Indices as Complexity Indices

Sonja Nikolić   ORCID icon orcid.org/0000-0003-3203-040X ; The Rugjer Bošković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia
Iva Marija Tolić ; The Rugjer Bošković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia
Nenad Trinajstić ; The Rugjer Bošković Institute, P. O. Box 180, HR-10002 Zagreb, Croatia
Ivo Baučić ; Department of Fixed Prosthodontics, Faculty of Stomatology, University of Zagreb, HR-10001 Zagreb, Croatia

Puni tekst: engleski, pdf (97 KB) str. 909-921 preuzimanja: 162* citiraj
APA 6th Edition
Nikolić, S., Tolić, I.M., Trinajstić, N. i Baučić, I. (2000). On the Zagreb Indices as Complexity Indices. Croatica Chemica Acta, 73 (4), 909-921. Preuzeto s https://hrcak.srce.hr/131967
MLA 8th Edition
Nikolić, Sonja, et al. "On the Zagreb Indices as Complexity Indices." Croatica Chemica Acta, vol. 73, br. 4, 2000, str. 909-921. https://hrcak.srce.hr/131967. Citirano 24.07.2019.
Chicago 17th Edition
Nikolić, Sonja, Iva Marija Tolić, Nenad Trinajstić i Ivo Baučić. "On the Zagreb Indices as Complexity Indices." Croatica Chemica Acta 73, br. 4 (2000): 909-921. https://hrcak.srce.hr/131967
Harvard
Nikolić, S., et al. (2000). 'On the Zagreb Indices as Complexity Indices', Croatica Chemica Acta, 73(4), str. 909-921. Preuzeto s: https://hrcak.srce.hr/131967 (Datum pristupa: 24.07.2019.)
Vancouver
Nikolić S, Tolić IM, Trinajstić N, Baučić I. On the Zagreb Indices as Complexity Indices. Croatica Chemica Acta [Internet]. 2000 [pristupljeno 24.07.2019.];73(4):909-921. Dostupno na: https://hrcak.srce.hr/131967
IEEE
S. Nikolić, I.M. Tolić, N. Trinajstić i I. Baučić, "On the Zagreb Indices as Complexity Indices", Croatica Chemica Acta, vol.73, br. 4, str. 909-921, 2000. [Online]. Dostupno na: https://hrcak.srce.hr/131967. [Citirano: 24.07.2019.]

Sažetak
Two original Zagreb indices, denoted M1 and M2, and introduced in 1972, were symmetry-modified by summing up only degrees (SMM1) or edge-weights (SMM2) of symmetry nonequivalent vertices or edges of graphs. Their dependence on the structural features and symmetry of molecular graphs is studied. They were also compared to eight other complexity indices (RCI, TC, TC1, BT, BI, twc, wcx) on nine graphs (A, B, C, D, E, F, G, H, I) with five vertices that were earlier studied by several research groups. The TC, TC1 and Nt produce exactly the same complexity ordering of nine graphs (I>H>G>F>E>D>C>B>A). The ordering produced by M1 is different from this ordering in that it cannot discriminate E and F, and C and D. Likewise, M2 and twc produce exactly the same ordering and the latter ordering differs from the former only in the reverse order of E and F. Orderings produced by SMM1 and SMM2 differ considerably from orderings given by TC, TC1 and Nt or M2 and twc.

Ključne riječi
complexity indices; molecular graphs; saturated hydro-carbons; Zagreb indices

Hrčak ID: 131967

URI
https://hrcak.srce.hr/131967

Posjeta: 278 *