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On the Narumi-Katayama index of composite graphs


Hosseinzadeh, Mohammad Ali; Iranmanesh, Ali; Došlić, Tomislav
On the Narumi-Katayama index of composite graphs // Croatica chemica acta, 86 (2013), 4; 503-508 doi:10.5562/cca2329 (međunarodna recenzija, članak, znanstveni)


Naslov
On the Narumi-Katayama index of composite graphs

Autori
Hosseinzadeh, Mohammad Ali ; Iranmanesh, Ali ; Došlić, Tomislav

Izvornik
Croatica chemica acta (0011-1643) 86 (2013), 4; 503-508

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

Ključne riječi
Narumi-Katayama index; composite graph

Sažetak
The Narumi-Katayama index of a graph $G$, denoted by $NK(G)$, is equal to the product of degrees of vertices of G. In this paper we investigate its behavior under several binary operations on graphs. We present explicit formulas for its values for composite graphs in terms of its values for operands and some auxiliary invariants. We demonstrate applications of our results to several chemically relevant classes of graphs and show how the Narumi-Katayama index can be used as a measure of graph irregularity.

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
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Građevinski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Autor s matičnim brojem:
Tomislav Došlić, (123192)

Časopis indeksira:


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


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