Naslov
The enumeration of space fullerenes

Autori
Deza, Michel ; Dutour Sikirić, Mathieu ; Delgado- Friedrichs, Olaf

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni

Izvornik
Differential equations and topology, in honor of Pontryagin 100th birthday / - , 2008

Skup
Differential equations and topology, in honor of Pontryagin 100th birthday

Mjesto i datum
Moskva, Ruska Federacija, 17.06.2008. - 22.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Delaney symbol; crystallography; enumeration; fullerene

Sažetak
A fullerene is a 3-valent plane graphs whose faces are pentagons and hexagons. A fullerene is said to be IHR if its hexagons are adjacent, i.e. are adjacent only to pentagons. A space fullerene is a 4-valent tiling of the space by IHR fullerenes. Space fullerenes are interesting in crystallography and in Discrete geometry. There are exactly 4 IHR fullerenes of symmetry Ih, D6d, Td and D3h. We enumerates the space fullerenes with a small fundamental domain under their translation groups. The technique is decomposed into two steps: The use of Delaney symbols, i.e. flag systems, as the basic model for storing combinatorial informations and the use of the softwares 3dt and Systre by Olaf Delgado for transforming combinatorial description into topological and metric ones. The design of programs for enumerating space fullerenes, using all the tricks in the books of combinatorial enumeration in order to achive the highest speed possible.

Izvorni jezik
Engleski

Znanstvena područja
Metalurgija

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