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Leapfrog and Related Operations on Toroidal Fullerenes

Mircea V. Diudea ; Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, 3400 Cluj, Romania
Peter E. John ; Technical University Ilmenau, Institute of Mathematics, PSF 100565, D-98684 Ilmenau, Germany
Ante Graovac ; The Rudjer Bošković Institute, P. O. Box 180, HR-10002, Zagreb, Croatia and Faculty of Natural Science, Mathematics and Education, University of Split, Nikole Tesle 12, HR-21000, Split, Croatia
Miljenko Primorac ; Faculty of Forestry, University of Zagreb, Svetošimunska 25, HR-10000 Zagreb, Croatia
Tomaž Pisanski ; IMFM, Department of Theoretical Computer Science, University of Ljubljana, SI-1000 Ljubljana, Slovenia


Puni tekst: engleski pdf 464 Kb

str. 153-159

preuzimanja: 555

citiraj


Sažetak

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.

Ključne riječi

carbon allotropes, toroids, 4-valent square tilings, 3-valent hexagonal tilings, leapfrog transformation

Hrčak ID:

103091

URI

https://hrcak.srce.hr/103091

Posjeta: 869 *