A parallel algorithm for the enumeration of benzenoid hydrocarbons

Iwan Jensen

doi:10.1088/1742-5468/2009/02/P02065

A parallel algorithm for the enumeration of benzenoid hydrocarbons

Iwan Jensen

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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∼Aκ^h/h and we estimate that the growth constant κ = 5.161 930 154(8) and the amplitude A = 0.280 8499(1).

Original language	English
Article number	P02065
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2009
Issue number	2
DOIs	https://doi.org/10.1088/1742-5468/2009/02/P02065
Publication status	Published - 2009
Externally published	Yes

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title = "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).",

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AU - Jensen, Iwan

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AB - 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).

UR - https://www.scopus.com/pages/publications/65449115696

U2 - 10.1088/1742-5468/2009/02/P02065

DO - 10.1088/1742-5468/2009/02/P02065

M3 - Article

AN - SCOPUS:65449115696

SN - 1742-5468

VL - 2009

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 2

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A parallel algorithm for the enumeration of benzenoid hydrocarbons

Abstract

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