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Wiener Way to Dimensionality


Ori, Ottorino, Cataldo, Franco; Vukičević, Damir; Graovac, Ante
Wiener Way to Dimensionality // Iranian journal of mathematical chemistry, 1 (2010), 2; 5-15 doi:10.22052/ijmc.2010.5150 (recenziran, članak, znanstveni)


Naslov
Wiener Way to Dimensionality

Autori
Ori, Ottorino, Cataldo, Franco ; Vukičević, Damir ; Graovac, Ante

Izvornik
Iranian journal of mathematical chemistry (2228-6489) 1 (2010), 2; 5-15

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

Ključne riječi
Wiener index ; dimensionality

Sažetak
This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the topological Wiener index, dW is therefore called Wiener dimensionality. Successful applications of this method to various infinite lattices (like graphene, nanocones, Sierpinski fractal triangle and carpet) testify the validity of the conjecture for infinite lattices.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija



POVEZANOST RADA


Projekt / tema
037-0000000-2779 - Diskretna matematika i primjene (Dragutin Svrtan, )
098-0982929-2940 - Modeliranje molekula i materijala metodama matematičke i računarske kemije (Ante Graovac, )
177-0000000-0884 - Diskretni matematički modeli u kemiji (Damir Vukičević, )

Ustanove
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Split

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)


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