Impulse Propagation in Compositions and Words

Margaret Archibald, Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher and Toufik Mansour

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

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.

Date: 2021
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https://doi.org/10.1155/2021/8811261

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:8811261

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