Naslov
Spheric analogs of fullerenes
(Shperic analogs of fullerenes)

Autori
Deza, Michel ; Dutour Sikirić, Mathieu ;

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

Izvornik
Ariel University Center of Samaria / - , 2011

Skup
Seminar on Algorithms, Combinatorics, Graph Theory and Algebra

Mjesto i datum
Ariel, Izrael, 07.12.2011

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Sphere; fullerene; parameterization

Sažetak
Given a set R of integers, a (R ; k)-sphere is a finite connected k-regular plane graph whose only i-gonal faces with i in R. Such ({;a, b}; ; k)-spheres with (a, b ; k) = (5, 6 ; 3) or (4, 6 ; 3) and (R ; 4) correspond to carbon or boron nitride fullerenes and projections of alternating links, respectively. All ({;a, b}; ; k)-spheres with pb =1, 2 3 are listed. We consider ({;a, b}; ; k)-spheres with 1 < a < b = 2k/(k−2) (i.e. minimal curvature of faces is 0) so, 4, 2, 2 infinite families with (b, k) = (6, 3), (4, 4), (3, 6). Their symmetry groups, parametrizing, zigzag (or central circuit) structure are addressed. Also, we treat icosahedrites, i.e., ({;3, 4}; ; 5)-spheres, and fullerene c-disks, i.e., ({;5, 6, c}; ; 3)-spheres with pc = 1.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

POVEZANOST RADA