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

Access to Document

10.1088/1742-5468/2009/02/P02065Licence: In Copyright

Cite this

@article{7e7f5d3bb9b943adbf82fac4a06098ca,

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).",

author = "Iwan Jensen",

year = "2009",

doi = "10.1088/1742-5468/2009/02/P02065",

language = "English",

volume = "2009",

journal = "Journal of Statistical Mechanics: Theory and Experiment",

issn = "1742-5468",

publisher = "IOP Publishing",

number = "2",

}

TY - JOUR

T1 - A parallel algorithm for the enumeration of benzenoid hydrocarbons

AU - Jensen, Iwan

PY - 2009

Y1 - 2009

N2 - 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).

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 - http://www.scopus.com/inward/record.url?scp=65449115696&partnerID=8YFLogxK

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

M1 - P02065

ER -

A parallel algorithm for the enumeration of benzenoid hydrocarbons

Abstract

Access to Document

Other files and links

Fingerprint

Cite this