Pregled bibliografske jedinice broj: 536400
Empirical study of diameters in fullerene graphs
Empirical study of diameters in fullerene graphs // Carbon Bondings and Structures / Putz, Mihai V. (ur.).
Berlin: Springer, 2011. str. 291-299
CROSBI ID: 536400 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Empirical study of diameters in fullerene graphs
Autori
Došlić, Tomislav
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Carbon Bondings and Structures
Urednik/ci
Putz, Mihai V.
Izdavač
Springer
Grad
Berlin
Godina
2011
Raspon stranica
291-299
ISBN
978-94-007-1733-6
Ključne riječi
Fullerene graph; Diameter
Sažetak
We have computed the diameters of all fullerene graphs on $20 \leq n \leq 120$ vertices and of all fullerene graphs with isolated pentagons on $60 \leq n \leq 146$ vertices. The results are used to asses the quality of recently obtained linear upper bounds and sqare root-type lower bounds. It seems that the fullerenes with large diameters are exceedingly rare. Our results suggest that there is a linear upper bound on the diamater of the fullerenes with isolated pentagons and that the minimum diameter is achieved on an isomer with isolated pentagons for large enough number of vertices.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0000000-2779 - Diskretna matematika i primjene (Svrtan, Dragutin, MZOS ) ( CroRIS)
177-0000000-0884 - Diskretni matematički modeli u kemiji (Vukičević, Damir, MZOS ) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb
Profili:
Tomislav Došlić
(autor)
