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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BUS2-0016-0005

Czasopismo

Fundamenta Informaticae

Tytuł artykułu

Shuffle of Words and Araucaria Trees

Autorzy Schott, R.  Spehner, J-C. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN The shuffle of k words u1,..., uk is the set of words obtained by interleaving the letters of these words such that the order of appearance of all letters of each word is respected. The study of the shuffle product of words leads to the construction of an automaton whose structure is deeply connected to a family of trees which we call araucarias. We prove many structural properties of this family of trees and give some combinatorial results. We introduce a family of remarkable symmetrical polynomials which play a crucial role in the computation of the size of the araucarias. We prove that the minimal partial automaton which recognizes the shuffle of a finite number of special words contains an araucaria for each integer k > 0.
Słowa kluczowe
EN automation   shuffle of words   remarkable polynomials   trees  
Wydawca IOS Press
Czasopismo Fundamenta Informaticae
Rocznik 2006
Tom Vol. 74, nr 4
Strony 579--601
Opis fizyczny bibliogr. 18 poz., wykr.
Twórcy
autor Schott, R.
autor Spehner, J-C.
  • Laboratoire MIA, Equipe MAGE, FST, Université de Haute Alsace, 68093, Mulhouse, France, schott@loria.fr
Bibliografia
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[14] Schott R. and Spehner J.-C., Efficient generation of commutation classes, Journal of Computing and Information, 2, 1, 1996, 1028-1045. Special issue: Proceedings of Eighth International Conference of Computing and Information (ICCI'96), Waterloo, Canada, June 19-22, 1996.
[15] Schott R. and Spehner J.-C., Two optimal parallel algorithms on the commutation class of a word, Theoretical Computer Science, 324, 2004, 107-131.
[16] Schott R. and Spehner J.-C., On the minimal automaton of the shuffle of words and araucarias (Extended abstract), Proceedings of MCU-2004 (International Conference on Machines, Computing and Universality, St Petersburg, September 2004), Lecture Notes in Computer Science, 3354, 316-327, Springer Verlag 2005.
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