Article ID Journal Published Year Pages File Type
419895 Discrete Applied Mathematics 2011 12 Pages PDF
Abstract

Nanocones are carbon networks that can be modeled as infinite cubic plane graphs with 1≤p≤51≤p≤5 pentagons and all the other faces hexagons. In this paper, we give a short proof of the fact that nanocones fall into eight classes when classified according to isomorphism up to a finite region, and describe a finer classification taking the localization of the pentagons into account. For this finer classification, we also describe an efficient algorithm to enumerate all non-equivalent nanocone representatives for a given parameter set, and give results of an implementation of the algorithm.

► We give a short proof of the fact that nanocones fall into eight equivalence classes. ► We give a finer classification with respect to the localization of the pentagons. ► We describe an efficient algorithm to enumerate all non-equivalent nanocones. ► We present the results of a program based on this algorithm.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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