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On Vertex–Degree–Based Molecular Structure Descriptors


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 (međunarodna recenzija, članak, znanstveni)


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


Projekt / tema
037-0000000-2779 - Diskretna matematika i primjene (Dragutin Svrtan, )
177-0000000-0884 - Diskretni matematički modeli u kemiji (Damir Vukičević, )

Ustanove
Građevinski fakultet, Zagreb

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus