A parallel algorithm for the enumeration of benzenoid hydrocarbons
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).
- Publication:
-
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- February 2009
- DOI:
- 10.1088/1742-5468/2009/02/P02065
- arXiv:
- arXiv:0808.0963
- Bibcode:
- 2009JSMTE..02..065J
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Physics - Chemical Physics;
- Physics - Computational Physics
- E-Print:
- 14 pages, 6 figures