Naslov
On Vertex–Degree–Based Molecular Structure Descriptors

Autori
Došlić, Tomislav ; Furtula, Boris ; Graovac, Ante ; Gutman, Ivan ; Moradi, Sirous ; Yarahmadi, Zahra

Izvornik
MATCH : communications in mathematical and in computer chemistry (0340-6253) 66 (2011); 613-626

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

Ključne riječi
Geometric-arithmetic indices; Zagreb indices

Sažetak
If G = (V, E) is a molecular graph, and du is the degree of its vertex u , then the d2 and first and second Zagreb indices are du dv , respectively. These molecular u u∈V uv∈E structure descriptors, introduced in the 1970s, have been much studied. Yet, a number of their properties, that seem to be have evaded attention so far, are established in this work for the first time. Also a more recent degree–based descriptor, the geometric–arithmetic √ du dv /[(du + dv )/2] , is analyzed. It is demonstrated that instead of index, equal to uv∈E the ratio of geometric and arithmetic means, almost any other means could be used.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA