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Pregled bibliografske jedinice broj: 536400

Poglavlje/Rad u knjizi

Autori: Došlić, Tomislav
Naslov: Empirical study of diameters in fullerene graphs
( Empirical study of diameters in fullerene graphs )
Knjiga: Carbon Bondings and Structures
Urednik/ci: Putz, Mihai V.
Izdavač: Springer
Grad: Berlin
Godina: 2011
Serija: Advances in Physics and Chemistry
Raspon stranica:: 291-299
Ukupni broj stranica u knjizi:: 445
ISBN: 978-94-007-1733-6
Ključne riječi: Fullerene graph; Diameter
( 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.
Projekt / tema: 037-0000000-2779, 177-0000000-0884
Izvorni jezik: eng
Kategorija: Znanstveni
Znanstvena područja:
Matematika
Upisao u CROSBI: doslic@grad.hr (doslic@grad.hr), 10. Stu. 2011. u 13:12 sati



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