Pregled bibliografske jedinice broj: 559479
Wiener Way to Dimensionality
Wiener Way to Dimensionality // Iranian journal of mathemathical chemistry, 1 (2010), 2; 5-15 doi:10.22052/ijmc.2010.5150 (recenziran, članak, znanstveni)
CROSBI ID: 559479 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Wiener Way to Dimensionality
Autori
Ori, Ottorino, Cataldo, Franco ; Vukičević, Damir ; Graovac, Ante
Izvornik
Iranian journal of mathemathical 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
Projekti:
098-0982929-2940 - Modeliranje molekula i materijala metodama matematičke i računarske kemije
037-0000000-2779 - Diskretna matematika i primjene (Svrtan, Dragutin, MZOS ) ( CroRIS)
177-0000000-0884 - Diskretni matematički modeli u kemiji (Vukičević, Damir, MZOS ) ( CroRIS)
Ustanove:
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
