A parallel algorithm for the enumeration of benzenoid hydrocarbons

نویسنده

  • Iwan Jensen
چکیده

We present an improved parallel algorithm for the enumeration of fixed benzenoids Bh containing h hexagonal cells. We can thus extend the enumeration of Bh 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 Bh ∼ Aκh/h and we estimate that the growth constant κ = 5.161930154(8) and the amplitude A = 0.2808499(1).

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تاریخ انتشار 2009