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Impulse Propagation in Compositions and Words

Author

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  • Margaret Archibald
  • Aubrey Blecher
  • Charlotte Brennan
  • Arnold Knopfmacher
  • Toufik Mansour
  • Sergejs Solovjovs

Abstract

We consider compositions of n represented as bargraphs and subject these to repeated impulses which start from the left at the top level and destroy horizontally connected parts. This is repeated while moving to the right first and then downwards to the next row and the statistic of interest is the number of impulses needed to annihilate the whole composition. We achieve this by conceptualizing a generating function that tracks compositions as well as the number of impulses used. This conceptualization is repeated for words (over a finite alphabet) represented by bargraphs.

Suggested Citation

  • Margaret Archibald & Aubrey Blecher & Charlotte Brennan & Arnold Knopfmacher & Toufik Mansour & Sergejs Solovjovs, 2021. "Impulse Propagation in Compositions and Words," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:8811261
    DOI: 10.1155/2021/8811261
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