hrcak mascot   Srce   HID

Izvorni znanstveni članak

Comparing the Zagreb Indices

Pierre Hansen
Damir Vukičević

Puni tekst: engleski, pdf (137 KB) str. 165-168 preuzimanja: 709* citiraj
APA 6th Edition
Hansen, P. i Vukičević, D. (2007). Comparing the Zagreb Indices. Croatica Chemica Acta, 80 (2), 165-168. Preuzeto s https://hrcak.srce.hr/12846
MLA 8th Edition
Hansen, Pierre i Damir Vukičević. "Comparing the Zagreb Indices." Croatica Chemica Acta, vol. 80, br. 2, 2007, str. 165-168. https://hrcak.srce.hr/12846. Citirano 27.10.2020.
Chicago 17th Edition
Hansen, Pierre i Damir Vukičević. "Comparing the Zagreb Indices." Croatica Chemica Acta 80, br. 2 (2007): 165-168. https://hrcak.srce.hr/12846
Harvard
Hansen, P., i Vukičević, D. (2007). 'Comparing the Zagreb Indices', Croatica Chemica Acta, 80(2), str. 165-168. Preuzeto s: https://hrcak.srce.hr/12846 (Datum pristupa: 27.10.2020.)
Vancouver
Hansen P, Vukičević D. Comparing the Zagreb Indices. Croatica Chemica Acta [Internet]. 2007 [pristupljeno 27.10.2020.];80(2):165-168. Dostupno na: https://hrcak.srce.hr/12846
IEEE
P. Hansen i D. Vukičević, "Comparing the Zagreb Indices", Croatica Chemica Acta, vol.80, br. 2, str. 165-168, 2007. [Online]. Dostupno na: https://hrcak.srce.hr/12846. [Citirano: 27.10.2020.]

Sažetak
Let G = (V, E) be a simple graph with n = |V | vertices and m = |E | edges; let d1, d2, …, dn denote the degrees of the vertices of G. If Δ= maxdi ≤ 4, G is a chemical graph. The first and second Zagreb indices are defined as
M1 = Σdi ²and M2 = Σd i d j

We show that for all chemical graphs M 1/n  ≤ M2/m. This does not hold for all general graphs, connected or not.

Ključne riječi
extremal graph; Zagreb index; AGX; chemical graphs

Hrčak ID: 12846

URI
https://hrcak.srce.hr/12846

Posjeta: 1.140 *