A parallel algorithm for the enumeration of benzenoid hydrocarbons

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Abstract

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 = 5.161 930 154(8) and the amplitude A = 0.280 8499(1).

Original languageEnglish
Article numberP02065
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2009
Issue number2
DOIs
Publication statusPublished - 2009
Externally publishedYes

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