文章基本信息

标题：Impulse Propagation in Compositions and Words
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作者：Margaret Archibald ; Aubrey Blecher ; Charlotte Brennan 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2021
卷号：2021
页码：1-6
DOI：10.1155/2021/8811261
出版社：Hindawi Publishing Corporation
摘要：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.