A parallel algorithm for the enumeration of benzenoid hydrocarbons

Details A parallel algorithm for the enumeration of benzenoid hydrocarbons A parallel algorithm for the enumeration of benzenoid hydrocarbons

2008-08-07

arxiv.org/abs/0808.0963v2

Physics

Condensed Matter

Statistical Mechanics

14 pages, 6 figures

Scientific paper

10.1088/1742-5468/2009/02/P02065

We present an improved parallel algorithm for the enumeration of fixed benzenoids B_h containing h hexagonal cells. We can thus extend the enumeration of B_h from the previous best h=35 up to h=50. Analysis of the associated generating function confirms to a very high degree of certainty that $B_h \sim A \kappa^h /h$ and we estimate that the growth constant $\kappa = 5.161930154(8)$ and the amplitude $A=0.2808499(1)$.

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