From 9b922a8e32ac5f26b959c6875bfd7611d7a8e030 Mon Sep 17 00:00:00 2001 From: Sven Verdoolaege Date: Sun, 5 Aug 2012 14:33:34 +0200 Subject: [PATCH] doc: add another paper refering to the library Signed-off-by: Sven Verdoolaege --- doc/barvinok.bib | 12 ++++++++++++ doc/reports.tex | 1 + 2 files changed, 13 insertions(+) diff --git a/doc/barvinok.bib b/doc/barvinok.bib index 6e4e527..dd007f6 100644 --- a/doc/barvinok.bib +++ b/doc/barvinok.bib @@ -1125,3 +1125,15 @@ MRREVIEWER = {P. McMullen}, year = 2001, pages = "1019-1048", } + +@article{Hubler2012, + title = "Counting chemical compositions using Ehrhart quasi-polynomials", + abstract = "To count the number of chemical compositions of a particular mass, we consider an alphabet a with a mass function which assigns a mass to each letter in a . We then compute the mass of a word (an ordered sequence of letters) by adding the masses of the constituent letters. Our main interest is to count the number of words that have a particular mass, where we ignore the order of the letters within the word. We show first that counting the number of words of a given mass has a geometric interpretation, whose solutions are called Ehrhart quasi-polynomials, a class of functions defined on integers. These special functions are “periodic” in the sense that they use the same polynomial every λ steps. In addition to discovering the connection between counting compositions and Ehrhart quasi-polynomials, we also find number theoretic results that greatly reduce the number of candidates for the period, λ. Finally, we illustrate the usefulness of these results and the use of a software library named barvinok (by Verdoolaege et al.) by applying them to eight different classes of chemical compositions, including organic molecules, peptides, DNA, and RNA.", + author = "Shane L. Hubler and Gheorghe Craciun", + journal = "Journal of Mathematical Chemistry", + year = 2012, + doi = "10.1007/s10910-012-0042-6", + publisher = {Springer Netherlands}, + issn = {0259-9791}, + pages = {1-25}, +} diff --git a/doc/reports.tex b/doc/reports.tex index 49ba3c3..f0c790c 100644 --- a/doc/reports.tex +++ b/doc/reports.tex @@ -49,4 +49,5 @@ the \ai[\tt]{barvinok} library. \item \citetitleN{Aspinall2010} \item \citetitleN{Koeppe2010} \item \citetitleN{Ryan2010} +\item \citetitleN{Hubler2012} \end{itemize} -- 2.11.4.GIT