Unranking of unlabelled decomposable structures
Identifieur interne : 002686 ( Crin/Curation ); précédent : 002685; suivant : 002687Unranking of unlabelled decomposable structures
Auteurs : François Bertault ; Paul ZimmermannSource :
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Abstract
The generic decomposable method can be used for describing various kinds of sets of combinatorial structures, including planar and non planar general rooted trees, necklaces, integer compositions and context-free grammars. We present in this article an incremental algorithm that solves the unranking problem on sets of unlabeled decomposable structures described by using constructors Union, Product, Set and Cycle.
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<sourceDesc><biblStruct><analytic><title xml:lang="en">Unranking of unlabelled decomposable structures</title>
<author><name sortKey="Bertault, Francois" sort="Bertault, Francois" uniqKey="Bertault F" first="François" last="Bertault">François Bertault</name>
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<author><name sortKey="Zimmermann, Paul" sort="Zimmermann, Paul" uniqKey="Zimmermann P" first="Paul" last="Zimmermann">Paul Zimmermann</name>
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>decomposable structure</term>
<term>random generation</term>
<term>unranking</term>
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<front><div type="abstract" xml:lang="en" wicri:score="1172">The generic decomposable method can be used for describing various kinds of sets of combinatorial structures, including planar and non planar general rooted trees, necklaces, integer compositions and context-free grammars. We present in this article an incremental algorithm that solves the unranking problem on sets of unlabeled decomposable structures described by using constructors Union, Product, Set and Cycle.</div>
</front>
</TEI>
<BibTex type="inproceedings"><ref>bertault99b</ref>
<crinnumber>99-R-184</crinnumber>
<category>3</category>
<author><e>Bertault, François</e>
<e>Zimmermann, Paul</e>
</author>
<title>Unranking of unlabelled decomposable structures</title>
<booktitle>{Troisième Conférence International sur les Ensembles Ordonnés, Algorithmes et Applications - Ordal'99, Montpellier, France}</booktitle>
<year>1999</year>
<month>Aug</month>
<keywords><e>random generation</e>
<e>decomposable structure</e>
<e>unranking</e>
</keywords>
<abstract>The generic decomposable method can be used for describing various kinds of sets of combinatorial structures, including planar and non planar general rooted trees, necklaces, integer compositions and context-free grammars. We present in this article an incremental algorithm that solves the unranking problem on sets of unlabeled decomposable structures described by using constructors Union, Product, Set and Cycle.</abstract>
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