Leapfrog and related operations on toroidal fullerenes

Diudea, Mirchea V.; John, Peter E.; Graovac, Ante; Primorac, Miljenko; Pisanski, Tomaž (2003) Leapfrog and related operations on toroidal fullerenes. Croatica Chemica Acta, 76 (2). pp. 153-159. ISSN 0011-1643

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Abstract

A 4-valent square tiled toroid is transformed into 3-valent hexagonal (and other polygonal) lattices either by simple cutting procedures or by some more elaborated operations such as leapfrog and related transformations. Tiling or embedding isomers can be interchanged by means of such operations on toroidal maps, for which rigorous definitions and some theorems are given. Parents and products of most important operations are illustrated.

Item Type:	Article
Uncontrolled Keywords:	carbon allotropes; toroids; 4-valent square tilings; 3-valent hexagonal tilings; leapfrog transformation; carbon nanotubes; graphitic carbon; molecular graphs; tori; forms; cages; eigenvectors; chemistry; polyhedra; geometry
Subjects:	NATURAL SCIENCES > Chemistry
Divisions:	NMR Center
Projects:	Project title Project leader Project code Project type Modeliranje novih ugljikovih materijala Ante Graovac 0098039 MZOS
Depositing User:	Bojan Macan
Date Deposited:	15 Nov 2013 14:10
URI:	http://fulir.irb.hr/id/eprint/956

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