Generating Fullerenes at Random (1996)
| Citations: | 2 - 2 self |
BibTeX
@MISC{Plestenjak96generatingfullerenes,
author = {Bor Plestenjak and Tomaz Pisanski and Ante Graovac},
title = {Generating Fullerenes at Random},
year = {1996}
}
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Abstract
In the present paper a method for generating fullerenes at random is presented. It is based on the well known Stone-Wales (SW) transformation. The method could be further generalised so that other trivalent polyhedra with prescribed properties are generated. 1. INTRODUCTION Fullerenes and other pure carbon cages remain a subject of rigorous research. The mechanism of fullerenes growth is still not fully understood although much has been learned 1 . In the present paper a method for generating fullerenes at random is presented. It is based on the well known Stone-Wales (SW) transformation 2; 3 and it has been successfully implemented as a part of the VEGA: a system for manipulating discrete mathematical structures. 4; 5 The method could be further generalised so that it is able to narrow the population of carbon cages with special properties. From a mathematical standpoint a fullerene is planar trivalent graph whose faces are pentagons and hexagons. It turns out that the number...
Citations
| 13 | A constructive enumeration of fullerenes - Brinkmann, Dress - 1997 |
| 5 | et al. Vega: System for manipulating discrete mathematical structures. Available via anonymous ftp from ftp.mat.uni-lj.si - Pisanski - 1993 |
| 3 | PentHex Puzzles -- a reliable and efficient top-down approach to fullerene-structure enumeration - Brinkmann, Dress |
| 1 | A Formation Mechanism for Cataclytically Grown HelixShaped Graphite Nanotubes. Science - Amelinckx, Zhang, et al. - 1994 |
| 1 | Energetics and Isomerization Pathways of a Lower Fullerene. The Stone-Wales Map for C 40 - Fowler, Manolopoulos, et al. |
| 1 | On Planar Graphs with 12 Vertices of Degree 5. Glasnik matematicki (Zagreb - Pisanski - 1977 |
