# A parallel algorithm for the enumeration of benzenoid hydrocarbons - Condensed Matter > Statistical Mechanics

A parallel algorithm for the enumeration of benzenoid hydrocarbons - Condensed Matter > Statistical Mechanics - Download this document for free, or read online. Document in PDF available to download.

Abstract: We present an improved parallel algorithm for the enumeration of fixedbenzenoids B h containing h hexagonal cells. We can thus extend the enumerationof B h from the previous best h=35 up to h=50. Analysis of the associatedgenerating function confirms to a very high degree of certainty that $B h \simA \kappa^h -h$ and we estimate that the growth constant $\kappa =5.1619301548$ and the amplitude $A=0.28084991$.

Author: Iwan Jensen

Source: https://arxiv.org/