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On Vertex–Degree–Based Molecular Structure Descriptors (CROSBI ID 176037)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Došlić, Tomislav ; Furtula, Boris ; Graovac, Ante ; Gutman, Ivan ; Moradi, Sirous ; Yarahmadi, Zahra On Vertex–Degree–Based Molecular Structure Descriptors // MATCH : communications in mathematical and in computer chemistry, 66 (2011), 613-626

Podaci o odgovornosti

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

engleski

On Vertex–Degree–Based Molecular Structure Descriptors

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.

Geometric-arithmetic indices; Zagreb indices

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Podaci o izdanju

66

2011.

613-626

objavljeno

0340-6253

Povezanost rada

Matematika

Indeksiranost