Impulse Propagation in Compositions and Words

Margaret Archibald; Aubrey Blecher; Charlotte Brennan; Arnold Knopfmacher; Toufik Mansour

doi:10.1155/2021/8811261

Impulse Propagation in Compositions and Words

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	8811261
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2021
DOIs	https://doi.org/10.1155/2021/8811261
State	Published - 2021

Bibliographical note

Publisher Copyright:
© 2021 Margaret Archibald et al.

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1155/2021/8811261

Cite this

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AU - Knopfmacher, Arnold

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AB - 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.

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Impulse Propagation in Compositions and Words

Abstract

Bibliographical note

ASJC Scopus subject areas

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